Mixed states for an Allen-Cahn type equation. II

DOI10.1007/s00526-003-0251-8zbMath1161.35397OpenAlexW1970721684MaRDI QIDQ1884735

Paul H. Rabinowitz, Edward W. Stredulinsky

Publication date: 5 November 2004

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

Full work available at URL: https://doi.org/10.1007/s00526-003-0251-8

zbMATH Keywords

minimizationmultibump solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Variational methods for second-order elliptic equations (35J20)

Related Items (31)

Existence of a heteroclinic solution for a double well potential equation in an infinite cylinder of $\mathbb{R}^{N}$ ⋮ Brake orbits type solutions to some class of semilinear elliptic equations ⋮ Phase transition layers for Fife-Greenlee problem on smooth bounded domain ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ Clustering of boundary interfaces for an inhomogeneous Allen-Cahn equation on a smooth bounded domain ⋮ Connectivity of boundaries by clustering phase transition layers of Fife-Greenlee problem on smooth bounded domain ⋮ Bump solutions for the mesoscopic Allen-Cahn equation in periodic media ⋮ Interfaces with boundary intersection for an inhomogeneous Allen-Cahn equation in three-dimensional case ⋮ Interior interfaces with (or without) boundary intersection for an anisotropic Allen-Cahn equation ⋮ Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole ℝ2 ⋮ Multitransition solutions for a generalized Frenkel-Kontorova model ⋮ Layered solutions with multiple asymptotes for non autonomous Allen-Cahn equations in \({\mathbb {R}^{3}}\) ⋮ Local minimizers and planar interfaces in a phase-transition model with interfacial energy ⋮ Existence of saddle-type solutions for a class of quasilinear problems in \(\mathbb{R}^2\) ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ On a phase transition model ⋮ Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds ⋮ Single and multitransition solutions for a family of semilinear elliptic PDE's ⋮ Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs ⋮ Transition layer for the heterogeneous Allen-Cahn equation ⋮ Phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ Standing pulses in almost periodic channels ⋮ Interior layers for an inhomogeneous Allen-Cahn equation ⋮ A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations ⋮ On the necessity of gaps ⋮ Ground states and critical points for Aubry-Mather theory in Statistical mechanics ⋮ Entire solutions in ${\mathbb{R}}^{2}$ for a class of Allen-Cahn equations ⋮ Solutions with transition layer and spike in an inhomogeneous phase transition model ⋮ Clustering phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations ⋮ Heteroclinic solutions for a generalized Frenkel-Kontorova model by minimization methods of Rabinowitz and Stredulinsky

This page was built for publication: Mixed states for an Allen-Cahn type equation. II