On the public citation graph
Saddle solutions of the bistable diffusion equation
0 signed · 104 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known work and none has been retracted — and get a dated CiteStamped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/cpa.3160450903openalex-snapshot
Phase transitions and generalized motion by mean curvature
inferredcites →https://doi.org/10.1007/bf01221125openalex-snapshot
Symmetry and related properties via the maximum principle
inferredcites →https://doi.org/10.1016/0022-0396(92)90146-eopenalex-snapshot
Generation and propagation of interfaces for reaction-diffusion equations
inferredcites →https://doi.org/10.1017/s0308210500031486openalex-snapshot
Development of interfaces in ℝ N
inferredcites →https://doi.org/10.1137/0148029openalex-snapshot
Dynamics of Layered Interfaces Arising from Phase Boundaries
inferredcites →https://doi.org/10.1137/1.9781611970180openalex-snapshot
Dynamics of Internal Layers and Diffusive Interfaces
inferredcites →https://doi.org/10.2307/2154960openalex-snapshot
Geometrical Evolution of Developed Interfaces
inferredcites →https://doi.org/10.3792/pjaa.65.207openalex-snapshot
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
inferredcites →https://doi.org/10.4310/jdg/1214446559openalex-snapshot
Motion of level sets by mean curvature. I
inferredcites →https://doi.org/10.4310/jdg/1214446564openalex-snapshot
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/1097-0312(200008)53:8<1007::aid-cpa3>3.0.co;2-uopenalex-snapshot
The Liouville property and a conjecture of De Giorgi
inferred← citeshttps://doi.org/10.1002/cpa.3027openalex-snapshot
Saddle solutions of the balanced bistable diffusion equation
inferred← citeshttps://doi.org/10.1007/978-3-031-99557-6_18openalex-snapshot
Lawson Cones and the Allen-Cahn Equation
inferred← citeshttps://doi.org/10.1007/bf02921628openalex-snapshot
Ginzburg-Landau equation and motion by mean curvature, I: Convergence
inferred← citeshttps://doi.org/10.1007/s00030-010-0086-xopenalex-snapshot
Saddle solutions of nonlinear elliptic equations involving the p-Laplacian
inferred← citeshttps://doi.org/10.1007/s00030-012-0210-1openalex-snapshot
Saddle solutions for bistable symmetric semilinear elliptic equations
inferred← citeshttps://doi.org/10.1007/s00032-025-00418-yopenalex-snapshot
Saddle Solutions for Allen–Cahn Type Equations Involving the Prescribed Mean Curvature Operator
inferred← citeshttps://doi.org/10.1007/s00205-015-0844-3openalex-snapshot
The Ground State of a Gross–Pitaevskii Energy with General Potential in the Thomas–Fermi Limit
inferred← citeshttps://doi.org/10.1007/s00205-017-1206-0openalex-snapshot
Periodic Solutions to a Cahn–Hilliard–Willmore Equation in the Plane
inferred← citeshttps://doi.org/10.1007/s00211-014-0683-4openalex-snapshot
Phase-field approximations of the Willmore functional and flow
inferred← citeshttps://doi.org/10.1007/s00229-011-0492-3openalex-snapshot
Solutions of the Allen-Cahn equation which are invariant under screw-motion
inferred← citeshttps://doi.org/10.1007/s00332-017-9361-xopenalex-snapshot
Phase Separation Patterns from Directional Quenching
inferred← citeshttps://doi.org/10.1007/s00526-012-0495-2openalex-snapshot
Layered solutions with multiple asymptotes for non autonomous Allen–Cahn equations in $${\mathbb {R}^{3}}$$
inferred← citeshttps://doi.org/10.1007/s00526-014-0712-2openalex-snapshot
End-to-end construction for the Allen–Cahn equation in the plane
inferred← citeshttps://doi.org/10.1007/s00526-016-0987-6openalex-snapshot
Qualitative properties of solutions to mixed-diffusion bistable equations
inferred← citeshttps://doi.org/10.1007/s005260050071openalex-snapshot
Stationary layered solutions in ${\Bbb R}^2$ for an Allen-Cahn system with multiple well potential
inferred← citeshttps://doi.org/10.1007/s10231-003-0088-yopenalex-snapshot
On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions
inferred← citeshttps://doi.org/10.1007/s10884-020-09925-5openalex-snapshot
The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space
inferred← citeshttps://doi.org/10.1007/s10915-021-01592-yopenalex-snapshot
Projection Method for Saddle Points of Energy Functional in $$H^{-1}$$ Metric
inferred← citeshttps://doi.org/10.1007/s11425-017-9307-4openalex-snapshot
On De Giorgi’s conjecture: Recent progress and open problems
inferred← citeshttps://doi.org/10.1007/s11464-016-0584-1openalex-snapshot
Existence of saddle solutions of a nonlinear elliptic equation involving p-Laplacian in more even-dimensional spaces
inferred← citeshttps://doi.org/10.1007/s11784-014-0181-4openalex-snapshot
Symmetry in nonlinear PDEs: Some open problems
inferred← citeshttps://doi.org/10.1007/s12044-013-0154-3openalex-snapshot
Maximal saddle solution of a nonlinear elliptic equation involving the p-Laplacian
inferred← citeshttps://doi.org/10.1016/j.aim.2013.04.012openalex-snapshot
On entire solutions of an elliptic system modeling phase separations
inferred← citeshttps://doi.org/10.1016/j.aim.2015.11.033openalex-snapshot
Bistable transition fronts in RN
inferred← citeshttps://doi.org/10.1016/j.aim.2017.09.013openalex-snapshot
Two-end solutions to the Allen–Cahn equation in R 3
inferred← citeshttps://doi.org/10.1016/j.anihpc.2012.04.003openalex-snapshot
The space of 4-ended solutions to the Allen–Cahn equation in the plane
inferred← citeshttps://doi.org/10.1016/j.cam.2025.116674openalex-snapshot
Projection method for steady states of Cahn–Hilliard equation with the dynamic boundary condition
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2019.103342openalex-snapshot
The Well Order Reconstruction Solution for three-dimensional wells, in the Landau–de Gennes theory
inferred← citeshttps://doi.org/10.1016/j.jde.2012.03.004openalex-snapshot
Symmetry of some entire solutions to the Allen–Cahn equation in two dimensions
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114332openalex-snapshot
Saddle solution to the complex Ginzburg-Landau system in three dimensions
inferred← citeshttps://doi.org/10.1016/j.jfa.2007.10.015openalex-snapshot
Hamiltonian identities for elliptic partial differential equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2009.04.020openalex-snapshot
Multiple-end solutions to the Allen–Cahn equation in R2
inferred← citeshttps://doi.org/10.1016/j.jfa.2012.03.010openalex-snapshot
Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones
inferred← citeshttps://doi.org/10.1016/j.jfa.2016.08.002openalex-snapshot
On variational characterization of four-end solutions of the Allen–Cahn equation in the plane
inferred← citeshttps://doi.org/10.1016/j.jfa.2019.108309openalex-snapshot
Semilinear integro-differential equations, I: Odd solutions with respect to the Simons cone
inferred← citeshttps://doi.org/10.1016/j.jfa.2022.109457openalex-snapshot
Further results on quasiperiodic partially localized solutions of homogeneous elliptic equations on RN+1
inferred← citeshttps://doi.org/10.1016/j.matpur.2012.02.006openalex-snapshot
Uniqueness and stability of saddle-shaped solutions to the Allen–Cahn equation
inferred← citeshttps://doi.org/10.1016/j.na.2018.12.006openalex-snapshot
Multiplicity results for a non-local problem with concave and convex nonlinearities
inferred← citeshttps://doi.org/10.1017/prm.2024.79openalex-snapshot
Fence of saddle solutions of the Allen–Cahn equation in the plane
inferred← citeshttps://doi.org/10.1017/s0308210500030493openalex-snapshot
On the stability of the saddle solution of Allen–Cahn's equation
inferred← citeshttps://doi.org/10.1051/cocv/2012031openalex-snapshot
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
inferred← citeshttps://doi.org/10.1051/cocv/2021013openalex-snapshot
A new diffuse-interface approximation of the Willmore flow
inferred← citeshttps://doi.org/10.1051/m2an:2003017openalex-snapshot
Approximation of a semilinear elliptic problem in an unbounded domain
inferred← citeshttps://doi.org/10.1051/proc/201445012openalex-snapshot
Phase-field models for the approximation of the willmore functional and flow
inferred← citeshttps://doi.org/10.1073/pnas.1202687109openalex-snapshot
On De Giorgi’s conjecture and beyond
inferred← citeshttps://doi.org/10.1080/03605300903583356openalex-snapshot
Spectral Analysis for Stationary Solutions of the Cahn–Hilliard Equation in ℝd
inferred← citeshttps://doi.org/10.1080/03605302.2010.484039openalex-snapshot
Qualitative Properties of Saddle-Shaped Solutions to Bistable Diffusion Equations
inferred← citeshttps://doi.org/10.1080/03605302.2014.947379openalex-snapshot
Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice
inferred← citeshttps://doi.org/10.1090/amsip/051.2/21openalex-snapshot
Geometrization program of semilinear elliptic equations
inferred← citeshttps://doi.org/10.1090/conm/570/11306openalex-snapshot
The role of minimal surfaces in the study of the Allen-Cahn equation
inferred← citeshttps://doi.org/10.1090/s0002-9939-2011-11217-6openalex-snapshot
Nondegeneracy of the saddle solution of the Allen-Cahn equation
inferred← citeshttps://doi.org/10.1090/s0002-9947-02-03007-6openalex-snapshot
Semilinear Neumann boundary value problems on a rectangle
inferred← citeshttps://doi.org/10.1090/s0002-9947-04-03543-3openalex-snapshot
Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion
inferred← citeshttps://doi.org/10.1090/s0002-9947-2011-05356-0openalex-snapshot
A uniform estimate for positive solutions of semilinear elliptic equations
inferred← citeshttps://doi.org/10.1090/s0002-9947-2012-05594-2openalex-snapshot
Moduli space theory for the Allen-Cahn equation in the plane
inferred← citeshttps://doi.org/10.1093/imamat/hxad031openalex-snapshot
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms
inferred← citeshttps://doi.org/10.1098/rspa.2021.0966openalex-snapshot
Elastic anisotropy in the reduced Landau–de Gennes model
inferred← citeshttps://doi.org/10.1103/physrevlett.83.1727openalex-snapshot
Bogomol'nyi Equation for Intersecting Domain Walls
inferred← citeshttps://doi.org/10.1137/16m1087990openalex-snapshot
Order Reconstruction for Nematics on Squares and Hexagons: A Landau--de Gennes Study
inferred← citeshttps://doi.org/10.1137/23m1604606openalex-snapshot
Multistability for Nematic Liquid Crystals in Cuboids with Degenerate Planar Boundary Conditions
inferred← citeshttps://doi.org/10.1142/9789814324359_0129openalex-snapshot
New Entire Solutions to Some Classical Semilinear Elliptic Problems
inferred← citeshttps://doi.org/10.1142/s0219199722500614openalex-snapshot
Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole ℝ2
inferred← citeshttps://doi.org/10.1512/iumj.2016.65.5772openalex-snapshot
Saddle solutions to Allen-Cahn equations in doubly periodic media
inferred← citeshttps://doi.org/10.1515/ans-2013-0409openalex-snapshot
Solutions with Polynomial Growth to an Autonomous Nonlinear Elliptic Problem
inferred← citeshttps://doi.org/10.1515/ans-2023-0186openalex-snapshot
Qualitative properties of two-end solutions to the Allen–Cahn equation in R 3 ${\mathbb{R}}^{3}$
inferred← citeshttps://doi.org/10.2139/ssrn.5963685openalex-snapshot
SADDLE SOLUTION TO THE COMPLEX GINZBURG-LANDAU SYSTEM IN THREE DIMENSIONS
inferred← citeshttps://doi.org/10.2140/apde.2013.6.1675openalex-snapshot
The classification of four-end solutions to the Allen–Cahn equation on the plane
inferred← citeshttps://doi.org/10.2422/2036-2145.201107_002openalex-snapshot
Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian
inferred← citeshttps://doi.org/10.2422/2036-2145.201901_012openalex-snapshot
The connecting solution of the Painlevé phase transition model
inferred← citeshttps://doi.org/10.2422/2036-2145.202202_008openalex-snapshot
Minimizing under relaxed symmetry constraints: Triple and N-junctions
inferred← citeshttps://doi.org/10.3934/dcds.2017030openalex-snapshot
On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in $\mathbb{R}^2$
inferred← citeshttps://doi.org/10.3934/dcds.2017033openalex-snapshot
Rotationally symmetric solutions to the Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.3934/dcds.2021055openalex-snapshot
A variational approach to three-phase traveling waves for a gradient system
inferred← citeshttps://doi.org/10.3934/dcdss.2018024openalex-snapshot
Saddle-shaped solutions for the fractional Allen-Cahn equation
inferred← citeshttps://doi.org/10.3934/mine.2020019openalex-snapshot
Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
inferred← citeshttps://doi.org/10.3934/nhm.2012.7.837openalex-snapshot
Towards classification of multiple-end solutions to the Allen-Cahn equation in $\mathbb{R}^2$
inferred← citeshttps://doi.org/10.4007/annals.2003.157.313openalex-snapshot
On De Giorgi’s conjecture in dimensions 4 and 5
inferred← citeshttps://doi.org/10.4171/jems/168openalex-snapshot
Saddle-shaped solutions of bistable diffusion equations in all of $\mathbb{R}^{2m}$
inferred← citeshttps://doi.org/10.4310/cms.2014.v12.n1.a6openalex-snapshot
Colliding interfaces in old and new diffuse-interface approximations of Willmore-flow
inferred← citeshttps://doi.org/10.4310/jdg/1357141507openalex-snapshot
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in $\mathbb{R}^3$
inferred← citeshttps://doi.org/10.48550/arxiv.1212.6469openalex-snapshot
On solutions with polynomial growth to an autonomous nonlinear elliptic problem
inferred← citeshttps://doi.org/10.48550/arxiv.1305.5435openalex-snapshot
Phase-field approximations of the Willmore functional and flow
inferred← citeshttps://doi.org/10.48550/arxiv.1310.1149openalex-snapshot
Stable solutions of equations with a quadratic gradient term
inferred← citeshttps://doi.org/10.48550/arxiv.1606.06575openalex-snapshot
Order Reconstruction for Nematics on Squares and Regular Polygons: A Landau-de Gennes Study
inferred← citeshttps://doi.org/10.48550/arxiv.1807.05580openalex-snapshot
The connecting solution of the Painlevé phase transition model
inferred← citeshttps://doi.org/10.48550/arxiv.2105.10253openalex-snapshot
Elastic anisotropy of nematic liquid crystals in the two-dimensional Landau-de Gennes model
inferred← citeshttps://doi.org/10.57262/ade/1355867455openalex-snapshot
Saddle-type solutions for a class of semilinear elliptic equations
inferred← citeshttps://doi.org/10.5802/slsedp.55openalex-snapshot
Multiple end solutions to the Allen-Cahn equation in $\mathbb{R}^2$
inferred← citeshttps://doi.org/10.5821/dissertation-2117-166157openalex-snapshot
Stable solutions of nonlinear fractional elliptic problems
inferred← citeshttps://doi.org/10.5821/dissertation-2117-351093openalex-snapshot
Qualitative properties of solutions to integro-differential elliptic problems
inferred← citeshttps://doi.org/10.6092/unibo/amsdottorato/3073openalex-snapshot
Bistable elliptic equations with fractional diffusion
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.