On a phase transition model

DOI10.1007/S00526-012-0507-2zbMath1270.35041OpenAlexW2034070320MaRDI QIDQ1949408

Jaeyoung Byeon, Paul H. Rabinowitz

Publication date: 7 May 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-012-0507-2

zbMATH Keywords

double well potentialAllen-Cahn model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (11)

Infinitely many solutions for elliptic equations with non-symmetric nonlinearities ⋮ Complex dynamics in a ODE model related to phase transition ⋮ Unbounded solutions for a periodic phase transition model ⋮ On the Bahri-Lions conjecture for elliptic equations with non-symmetric nonlinearities ⋮ On the existence of multi-transition solutions for a class of elliptic systems ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree ⋮ Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential ⋮ Solutions of higher topological type for an Allen-Cahn model equation ⋮ Liouville theorems for elliptic systems and applications ⋮ Dynamical behaviors for generalized pendulum type equations with \(p\)-Laplacian

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