On the public citation graph
Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
0 signed · 121 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/0470871296openalex-snapshot
Spatial Ecology via Reaction‐Diffusion Equations
inferredcites →https://doi.org/10.1006/jdeq.2001.4086openalex-snapshot
A Semilinear Parabolic System for Migration and Selection in Population Genetics
inferredcites →https://doi.org/10.1007/978-1-4612-5282-5openalex-snapshot
Maximum Principles in Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/bf00167155openalex-snapshot
The effects of spatial heterogeneity in population dynamics
inferredcites →https://doi.org/10.1007/bf00277151openalex-snapshot
A selection-migration model in population genetics
inferredcites →https://doi.org/10.1007/bf01453979openalex-snapshot
On positive solutions of a linear elliptic eigenvalue problem with neumann boundary conditions
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1007/bfb0090437openalex-snapshot
Remarks on a non linear equation arising in population genetics
inferredcites →https://doi.org/10.1007/s002850050120openalex-snapshot
The evolution of slow dispersal rates: a reaction diffusion model
inferredcites →https://doi.org/10.1016/0022-247x(80)90309-1openalex-snapshot
On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
inferredcites →https://doi.org/10.1016/j.jde.2004.01.009openalex-snapshot
Evolution of a semilinear parabolic system for migration and selection in population genetics
inferredcites →https://doi.org/10.1016/s0022-0396(03)00056-1openalex-snapshot
Realization of prescribed patterns in the competition model
inferredcites →https://doi.org/10.1017/s030821050001876xopenalex-snapshot
Diffusive logistic equations with indefinite weights: population models in disrupted environments
inferredcites →https://doi.org/10.1080/03605307808820080openalex-snapshot
Remarks on a non linear equation arising in population genetics
inferredcites →https://doi.org/10.1080/03605308308820300openalex-snapshot
On a nonlinear elliptic eigenvalue problem with neumann boundary conditions, with an application to population genetics
inferredcites →https://doi.org/10.1093/biomet/38.1-2.196openalex-snapshot
RANDOM DISPERSAL IN THEORETICAL POPULATIONS
inferredcites →https://doi.org/10.1093/genetics/80.3.595openalex-snapshot
CONDITIONS FOR THE EXISTENCE OF CLINES
inferredcites →https://doi.org/10.1112/blms/24.6.619openalex-snapshot
PERIODIC-PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY
inferredcites →https://doi.org/10.1137/0522068openalex-snapshot
Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
inferredcites →https://doi.org/10.1137/s0036141002402189openalex-snapshot
Competing Species near a Degenerate Limit
inferredcites →https://doi.org/10.60713/pist-25960openalex-snapshot
On Elliptic boundary value problems with indefinite weights: variational formulations of the principal eigenvalue and applications
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/mana.70231openalex-snapshot
Eigenvalue Homogenization for the p‐Laplacian With Rapidly Oscillating Lq Weights
inferred← citeshttps://doi.org/10.1002/mma.10697openalex-snapshot
Optimization of Robin Laplacian Eigenvalue With Indefinite Weight in Spherical Shell
inferred← citeshttps://doi.org/10.1002/mma.70611openalex-snapshot
Sharp Bounds of Eigenvalue Ratios for Sturm–Liouville Equations With Dirichlet Boundary Conditions
inferred← citeshttps://doi.org/10.1002/pamm.201800086openalex-snapshot
Optimal control of resources for species survival
inferred← citeshttps://doi.org/10.1007/978-3-030-22583-4_8openalex-snapshot
Persistence, Competition, and Evolution
inferred← citeshttps://doi.org/10.1007/978-3-030-38230-8_18openalex-snapshot
Quantitative Analysis of a Singularly Perturbed Shape Optimization Problem in a Polygon
inferred← citeshttps://doi.org/10.1007/978-3-540-74331-6_5openalex-snapshot
Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics
inferred← citeshttps://doi.org/10.1007/s00009-010-0040-5openalex-snapshot
Spectrum of One-Dimensional p-Laplacian with an Indefinite Integrable Weight
inferred← citeshttps://doi.org/10.1007/s00009-018-1118-8openalex-snapshot
Complete Continuity of Eigen-Pairs of Weighted Dirichlet Eigenvalue Problem
inferred← citeshttps://doi.org/10.1007/s00013-024-02090-xopenalex-snapshot
Isoperimetric inequalities for the fractional composite membrane problem
inferred← citeshttps://doi.org/10.1007/s00205-021-01726-4openalex-snapshot
Shape optimization of a weighted two-phase Dirichlet eigenvalue
inferred← citeshttps://doi.org/10.1007/s00245-007-9032-7openalex-snapshot
Optimal Spatial Harvesting Strategy and Symmetry-Breaking
inferred← citeshttps://doi.org/10.1007/s00245-011-9153-xopenalex-snapshot
Principal Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s00285-017-1180-zopenalex-snapshot
Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems
inferred← citeshttps://doi.org/10.1007/s00285-020-01507-9openalex-snapshot
On the effects of carrying capacity and intrinsic growth rate on single and multiple species in spatially heterogeneous environments
inferred← citeshttps://doi.org/10.1007/s00285-021-01565-7openalex-snapshot
Maximizing the total population with logistic growth in a patchy environment
inferred← citeshttps://doi.org/10.1007/s00285-022-01817-0openalex-snapshot
Maximal total population of species in a diffusive logistic model
inferred← citeshttps://doi.org/10.1007/s00285-022-01829-wopenalex-snapshot
Spatial ecology, optimal control and game theoretical fishing problems
inferred← citeshttps://doi.org/10.1007/s00285-023-01978-6openalex-snapshot
Impact of resource distributions on the competition of species in stream environment
inferred← citeshttps://doi.org/10.1007/s00526-016-1084-6openalex-snapshot
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
inferred← citeshttps://doi.org/10.1007/s00526-018-1353-7openalex-snapshot
Maximization of the total population in a reaction–diffusion model with logistic growth
inferred← citeshttps://doi.org/10.1007/s10440-025-00715-zopenalex-snapshot
The Effects of Diffusion Coefficients in a Two-Species Lotka-Volterra Competition System with Resource Dependent Dispersal
inferred← citeshttps://doi.org/10.1007/s10884-021-10010-8openalex-snapshot
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity
inferred← citeshttps://doi.org/10.1007/s10915-016-0222-9openalex-snapshot
Minimizing Eigenvalues for Inhomogeneous Rods and Plates
inferred← citeshttps://doi.org/10.1007/s10915-021-01413-2openalex-snapshot
Extremal Rearrangement Problems Involving Poisson’s Equation with Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s10957-012-0125-3openalex-snapshot
Minimization of Eigenvalues of One-Dimensional p-Laplacian with Integrable Potentials
inferred← citeshttps://doi.org/10.1007/s10957-018-01462-yopenalex-snapshot
Optimal Potentials of Measure Differential Equations with Given Spectral Data
inferred← citeshttps://doi.org/10.1007/s11425-010-4081-9openalex-snapshot
Extremal eigenvalues of measure differential equations with fixed variation
inferred← citeshttps://doi.org/10.1007/s11425-015-5054-9openalex-snapshot
Minimization of eigenvalues and construction of non-degenerate potentials for the one-dimensional p-Laplacian
inferred← citeshttps://doi.org/10.1007/s11425-025-2545-8openalex-snapshot
Optimization of the principal eigenvalue of a cooperative elliptic system with drifts
inferred← citeshttps://doi.org/10.1007/s11856-021-2278-yopenalex-snapshot
Nonnegative solutions of an indefinite sublinear Robin problem II: local and global exactness results
inferred← citeshttps://doi.org/10.1007/s13160-015-0177-5openalex-snapshot
Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media
inferred← citeshttps://doi.org/10.1007/s44007-026-00203-2openalex-snapshot
Shape Optimization of a Small Favorable Region in a Periodically Fragmented Environment
inferred← citeshttps://doi.org/10.1016/bs.hna.2021.12.012openalex-snapshot
Some challenging optimisation problems for logistic diffusive equations and numerical issues
inferred← citeshttps://doi.org/10.1016/j.aim.2023.109272openalex-snapshot
Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems
inferred← citeshttps://doi.org/10.1016/j.aim.2025.110766openalex-snapshot
Extremal norms of potentials from fixed eigenvalues or eigenvalues ratio for Camassa-Holm equations
inferred← citeshttps://doi.org/10.1016/j.amc.2015.01.101openalex-snapshot
A nodal inverse problem for second order Sturm–Liouville operators with indefinite weights
inferred← citeshttps://doi.org/10.1016/j.anihpc.2012.01.007openalex-snapshot
Minimization of the zeroth Neumann eigenvalues with integrable potentials
inferred← citeshttps://doi.org/10.1016/j.jcp.2010.09.001openalex-snapshot
Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients
inferred← citeshttps://doi.org/10.1016/j.jde.2013.08.015openalex-snapshot
Strong Allee effect in a diffusive predator–prey system with a protection zone
inferred← citeshttps://doi.org/10.1016/j.jde.2020.06.034openalex-snapshot
On eigenvalues of second order measure differential equation and minimization of measures
inferred← citeshttps://doi.org/10.1016/j.jde.2020.06.057openalex-snapshot
Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball
inferred← citeshttps://doi.org/10.1016/j.jde.2021.03.040openalex-snapshot
On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.jde.2023.09.030openalex-snapshot
Spectral optimization for weighted anisotropic problems with Robin conditions
inferred← citeshttps://doi.org/10.1016/j.jde.2023.11.021openalex-snapshot
Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems
inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.079openalex-snapshot
On Dirichlet eigenvalues of measure differential equations with indefinite weight measures
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114669openalex-snapshot
Spreading speeds of diffusive age-structured equations in slowly and rapidly varying media
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.03.068openalex-snapshot
Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.123518openalex-snapshot
Strong continuity of eigen-pairs of the Schrödinger operator with integrable potentials
inferred← citeshttps://doi.org/10.1016/j.jmaa.2022.126025openalex-snapshot
On the logistic diffusive equation with an interior jump condition
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.130388openalex-snapshot
Existence of solutions to diffusive logistic models with transmission conditions on normal derivatives
inferred← citeshttps://doi.org/10.1016/j.matpur.2019.10.002openalex-snapshot
Asymptotic spherical shapes in some spectral optimization problems
inferred← citeshttps://doi.org/10.1016/j.matpur.2019.10.008openalex-snapshot
Optimal location of resources maximizing the total population size in logistic models
inferred← citeshttps://doi.org/10.1016/j.matpur.2025.103815openalex-snapshot
Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem
inferred← citeshttps://doi.org/10.1016/j.na.2022.113103openalex-snapshot
Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2009.01.015openalex-snapshot
Optimal control of growth coefficient on a steady-state population model
inferred← citeshttps://doi.org/10.1017/prm.2025.10074openalex-snapshot
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders
inferred← citeshttps://doi.org/10.1063/1.4907311openalex-snapshot
Towards a Sumudu based estimation of large scale disasters environmental fitness changes adversely affecting population dispersal and persistence
inferred← citeshttps://doi.org/10.1063/5.0230925openalex-snapshot
A new approach to inverse Sturm–Liouville problems based on point interaction
inferred← citeshttps://doi.org/10.1088/1361-6544/aabe4bopenalex-snapshot
Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems
inferred← citeshttps://doi.org/10.1088/1361-6544/ac23b9openalex-snapshot
Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations
inferred← citeshttps://doi.org/10.1090/s0002-9939-2015-12304-0openalex-snapshot
Extremal problems for eigenvalues of measure differential equations
inferred← citeshttps://doi.org/10.1090/s0002-9947-2010-05051-2openalex-snapshot
Continuity in weak topology and extremal problems of eigenvalues of the 𝑝-Laplacian
inferred← citeshttps://doi.org/10.1111/cobi.14424openalex-snapshot
Fundamental principles of the effect of habitat fragmentation on species with different movement rates
inferred← citeshttps://doi.org/10.1137/120872942openalex-snapshot
Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
inferred← citeshttps://doi.org/10.1137/140981769openalex-snapshot
Spatial Invasion Threshold of Lyme Disease
inferred← citeshttps://doi.org/10.1137/17m1124255openalex-snapshot
Optimal Location of Resources for Biased Movement of Species: The 1D Case
inferred← citeshttps://doi.org/10.1137/19m1251709openalex-snapshot
Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions
inferred← citeshttps://doi.org/10.1137/21m1393121openalex-snapshot
Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem
inferred← citeshttps://doi.org/10.1137/22m1478823openalex-snapshot
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight
inferred← citeshttps://doi.org/10.1137/22m1490600openalex-snapshot
Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems
inferred← citeshttps://doi.org/10.1137/23m1556757openalex-snapshot
Maximizing Metapopulation Growth Rate and Biomass in Stream Networks
inferred← citeshttps://doi.org/10.1137/24m1702830openalex-snapshot
Analysis of a Toy Model for Optimal Crop Protection
inferred← citeshttps://doi.org/10.1142/s0219199712500496openalex-snapshot
MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS
inferred← citeshttps://doi.org/10.1155/2010/690342openalex-snapshot
Extremal Values of Half-Eigenvalues for -Laplacian with Weights in Balls
inferred← citeshttps://doi.org/10.1155/2012/670463openalex-snapshot
A Survey on Extremal Problems of Eigenvalues
inferred← citeshttps://doi.org/10.1186/1687-2770-2013-220openalex-snapshot
Minimization of eigenvalues for some differential equations with integrable potentials
inferred← citeshttps://doi.org/10.1186/s13661-018-0991-1openalex-snapshot
Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights
inferred← citeshttps://doi.org/10.12677/aam.2023.129376openalex-snapshot
Research on the Minimization Problem of Principal Eigenvalue in Spherical Shell Domain
inferred← citeshttps://doi.org/10.1371/journal.pgen.1005630openalex-snapshot
Convergent Evolution During Local Adaptation to Patchy Landscapes
inferred← citeshttps://doi.org/10.14232/ejqtde.2021.1.55openalex-snapshot
Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight
inferred← citeshttps://doi.org/10.14288/1.0071047openalex-snapshot
Topics in the asymptotic analysis of linear and nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.2139/ssrn.5915445openalex-snapshot
Homogenization of an indefinite spectral problem arising in population genetics
inferred← citeshttps://doi.org/10.3233/asy-201615openalex-snapshot
Singular limits of sign-changing weighted eigenproblems
inferred← citeshttps://doi.org/10.3934/dcds.2014.34.1701openalex-snapshot
Reaction-diffusion-advection models for the effects and evolution of dispersal
inferred← citeshttps://doi.org/10.3934/dcds.2020290openalex-snapshot
Global dynamics of a general Lotka-Volterra competition-diffusion system in heterogeneous environments
inferred← citeshttps://doi.org/10.3934/dcdsb.2010.14.1139openalex-snapshot
An asymptotic analysis of the persistence threshold for thediffusive logistic model in spatial environments with localizedpatches
inferred← citeshttps://doi.org/10.3934/dcdsb.2017039openalex-snapshot
Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management
inferred← citeshttps://doi.org/10.3934/dcdsb.2017051openalex-snapshot
Spectraltheory for nonlocal dispersal operators with time periodic indefinite weight functions and applications
inferred← citeshttps://doi.org/10.3934/dcdsb.2020061openalex-snapshot
On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures
inferred← citeshttps://doi.org/10.3934/mbe.2008.5.315openalex-snapshot
Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
inferred← citeshttps://doi.org/10.4171/aihpc/57openalex-snapshot
(Non)local logistic equations with Neumann conditions
inferred← citeshttps://doi.org/10.48550/arxiv.2005.08515openalex-snapshot
A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models
inferred← citeshttps://doi.org/10.5269/bspm.v33i1.19948openalex-snapshot
On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
inferred← citeshttps://doi.org/10.54330/afm.113547openalex-snapshot
Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments
inferred← citeshttps://doi.org/10.70675/cb1597a8zbbf5z45edzaa3bz046d9ddf1657openalex-snapshot
Shape optimization and spatial heterogeneity in reaction-diffusion equations
inferred← citeshttps://doi.org/10.7494/opmath.2023.43.4.559openalex-snapshot
The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.