On the public citation graph

Parameter and domain dependence of eigenvalues of elliptic partial differential equations

0 signed · 65 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.
Claim with ORCID
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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00266474openalex-snapshot
Nonlinear stability of the Boussinesq equations by the method of energy
inferredcites →https://doi.org/10.1007/bf02803593openalex-snapshot
Convexity of functionals by transplantation
inferredcites →https://doi.org/10.1007/bf02825640openalex-snapshot
Convexity of domain functionals
inferredcites →https://doi.org/10.1016/b978-0-12-395771-9.x5001-1openalex-snapshot
Stability of Parallel Flows
inferredcites →https://doi.org/10.1038/169737b0openalex-snapshot
Journal of Rational Mechanics and Analysis
inferredcites →https://doi.org/10.1063/1.3060230openalex-snapshot
The Theory of Sound
inferredcites →https://doi.org/10.1090/s0002-9904-1954-09815-4openalex-snapshot
Variation of domain functionals
inferredcites →https://doi.org/10.1512/iumj.1953.2.52008openalex-snapshot
Variational Problems in the Theory of Elliptic Partial Differential Equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-09094-0_77openalex-snapshot
Quelques methodes sur la recherche d'un domaine optimal
inferred← citeshttps://doi.org/10.1007/978-3-642-85972-4_14openalex-snapshot
Une Methode Numerique pour la Recherche d’un Domaine Optimal
inferred← citeshttps://doi.org/10.1007/978-94-009-8606-0_23openalex-snapshot
Singular Dependence of Repeated Eigenvalues
inferred← citeshttps://doi.org/10.1007/978-94-011-1804-0_25openalex-snapshot
Extremal Eigenvalue Problems for Starlike Drums
inferred← citeshttps://doi.org/10.1007/bf00250536openalex-snapshot
Domain perturbations: The higher order theory of infinitesimal water waves
inferred← citeshttps://doi.org/10.1007/bf00253045openalex-snapshot
The free surface on a liquid between cylinders rotating at different speeds part II
inferred← citeshttps://doi.org/10.1007/bf00253245openalex-snapshot
Convective instability in a temperature and concentration field
inferred← citeshttps://doi.org/10.1007/bf00933973openalex-snapshot
Shape design sensitivity of a membrane
inferred← citeshttps://doi.org/10.1007/bf01447319openalex-snapshot
Continuit� et diff�rentiabilit� d'�l�ments propres: Application � l'optimisation de structures
inferred← citeshttps://doi.org/10.1007/bf01595041openalex-snapshot
Energy stability of channel flows
inferred← citeshttps://doi.org/10.1007/bf02367274openalex-snapshot
Generalized implicit function theorems and problems with a free boundary
inferred← citeshttps://doi.org/10.1007/s00023-014-0388-3openalex-snapshot
Characterization of Bulk States in One-Edge Quantum Hall Systems
inferred← citeshttps://doi.org/10.1007/s00707-015-1335-1openalex-snapshot
Transient electrohydrodynamics of compound drops
inferred← citeshttps://doi.org/10.1007/s00707-022-03313-4openalex-snapshot
High-order lubrication theory in channels and tubes with variable geometry
inferred← citeshttps://doi.org/10.1007/s00707-026-04725-2openalex-snapshot
Transient electrohydrodynamics of coaxial liquid columns in transverse electric fields
inferred← citeshttps://doi.org/10.1007/s10957-015-0801-1openalex-snapshot
Second Domain Variation for Problems with Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s12215-024-01142-zopenalex-snapshot
On the first Laplacian eigenvalue of an elliptical membrane
inferred← citeshttps://doi.org/10.1016/0017-9310(75)90143-xopenalex-snapshot
Upper and lower bounds to thermal instability criteria for completely confined fluids inside arbitrary configurations
inferred← citeshttps://doi.org/10.1016/0022-247x(69)90120-6openalex-snapshot
On a ‘direct’ method of proof of continuous differentiability of an extremal of a quadratic functional, relative to a parameter
inferred← citeshttps://doi.org/10.1016/0022-247x(73)90126-1openalex-snapshot
On the equilibrium of circular flows under gravity
inferred← citeshttps://doi.org/10.1016/b978-0-7506-9117-8.50014-7openalex-snapshot
Thin Films, Lubrication, and Related Problems
inferred← citeshttps://doi.org/10.1016/b978-044451861-3/50003-3openalex-snapshot
Eigenvalues and Perturbed Domains
inferred← citeshttps://doi.org/10.1016/j.anihpc.2007.12.001openalex-snapshot
Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains
inferred← citeshttps://doi.org/10.1016/j.euromechflu.2022.10.010openalex-snapshot
Channel flow with variable geometry and Navier slip at the walls using high-order lubrication theory
inferred← citeshttps://doi.org/10.1016/j.jde.2015.02.011openalex-snapshot
On differentiability of eigenvalues of second order elliptic operators on non-smooth domains
inferred← citeshttps://doi.org/10.1016/j.jde.2021.07.001openalex-snapshot
A shape variation result via the geometry of eigenfunctions
inferred← citeshttps://doi.org/10.1016/j.jfa.2009.07.014openalex-snapshot
Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R d
inferred← citeshttps://doi.org/10.1016/s0011-9164(00)80337-9openalex-snapshot
Rayleigh-Jeffreys stability of thermohaline stratified fluids subject to horizontal flows
inferred← citeshttps://doi.org/10.1016/s0011-9164(00)88648-8openalex-snapshot
Rayleigh-Jeffreys stability of thermohaline stratified fluids subject to vertical flows
inferred← citeshttps://doi.org/10.1016/s0017-9310(83)80061-1openalex-snapshot
Domain dependence of critical Rayleigh numbers
inferred← citeshttps://doi.org/10.1016/s0375-9601(99)00725-2openalex-snapshot
The local geometry of chaotic billiards
inferred← citeshttps://doi.org/10.1016/s0893-9659(00)00109-9openalex-snapshot
Eigenvalue variations for the Neumann problem
inferred← citeshttps://doi.org/10.1017/jfm.2016.704openalex-snapshot
A nonlinear small-deformation theory for transient droplet electrohydrodynamics
inferred← citeshttps://doi.org/10.1017/s0022112070000174openalex-snapshot
On the non-separable baroclinic parallel flow instability problem
inferred← citeshttps://doi.org/10.1017/s0022112075001565openalex-snapshot
The free surface on a liquid filling a trench heated from its side
inferred← citeshttps://doi.org/10.1017/s0022112091000186openalex-snapshot
Three-dimensional oscillation characteristics of electrostatically deformed drops
inferred← citeshttps://doi.org/10.1021/ie011009sopenalex-snapshot
Comparison of Theoretical and Experimental Characteristics of Oscillating Bubbles
inferred← citeshttps://doi.org/10.1051/m2an/1986200303711openalex-snapshot
Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
inferred← citeshttps://doi.org/10.1063/1.1693854openalex-snapshot
Nonlinear Thermal Convection in Conducting Fluids
inferred← citeshttps://doi.org/10.1063/1.4732151openalex-snapshot
Thermocapillary effects on steadily evaporating contact line: A perturbative local analysis
inferred← citeshttps://doi.org/10.1088/1367-2630/ac8b29openalex-snapshot
Stark-localization as a probe of nanostructure geometry
inferred← citeshttps://doi.org/10.1090/conm/221/03117openalex-snapshot
Estimates for Green’s function in terms of asymmetry
inferred← citeshttps://doi.org/10.1103/physreve.84.036308openalex-snapshot
Transient electrohydrodynamics of a liquid drop
inferred← citeshttps://doi.org/10.1103/physreve.88.033012openalex-snapshot
Electrohydrodynamics of a compound drop
inferred← citeshttps://doi.org/10.1115/1.2888203openalex-snapshot
Exact Perturbation for the Vibration of Almost Annular or Circular Plates
inferred← citeshttps://doi.org/10.1115/1.4036942openalex-snapshot
Passive Suppression Mechanisms in Laminar Vortex-Induced Vibration of a Sprung Cylinder With a Strongly Nonlinear, Dissipative Oscillator
inferred← citeshttps://doi.org/10.1137/0124039openalex-snapshot
Dynamic Stability of Planar Rods of Noncircular Centerline.
inferred← citeshttps://doi.org/10.1137/0124040openalex-snapshot
Domain Dependence of Eigenvalues of Vibrating Plates
inferred← citeshttps://doi.org/10.1137/1024097openalex-snapshot
Perturbation Expansions on Perturbed Domains
inferred← citeshttps://doi.org/10.1137/1026033openalex-snapshot
Eigenvalues of the Laplacian in Two Dimensions
inferred← citeshttps://doi.org/10.1137/15m1016059openalex-snapshot
Asymptotic Analysis of Forward Performance Processes in Incomplete Markets and Their Ill-Posed HJB Equations
inferred← citeshttps://doi.org/10.1145/2465506.2466576openalex-snapshot
A term rewriting system for the calculus of moving surfaces
inferred← citeshttps://doi.org/10.21248/gups.68009openalex-snapshot
Fractional Hadamard formulas, Pohozaev type identities and applications
inferred← citeshttps://doi.org/10.48550/arxiv.0908.2327openalex-snapshot
Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
inferred← citeshttps://doi.org/10.48550/arxiv.1402.4574openalex-snapshot
Characterization of bulk states in one-edge quantum Hall systems
inferred← citeshttps://doi.org/10.48550/arxiv.1403.2220openalex-snapshot
Second variation of domain functionals and applications to problems with Robin boundary conditions
inferred← citeshttps://doi.org/10.48550/arxiv.1802.07768openalex-snapshot
The fundamental Laplacian eigenvalue of the ellipse with Dirichlet boundary conditions
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.