Layers With Nonsmooth Interface in a Semilinear Elliptic Problem

DOI10.1080/03605309208820900zbMath0786.35057OpenAlexW2078902527MaRDI QIDQ4030406

Manuel A. del Pino

Publication date: 1 April 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820900

zbMATH Keywords

transition layersemilinear Neumann problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (14)

Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains ⋮ Layer and unlayer solutions for some singularly perturbed semilinear elliptic systems ⋮ Existence of solutions with interior transition layers touching the boundary ⋮ Phase transition layers for Fife-Greenlee problem on smooth bounded domain ⋮ 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 ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ Transition layer for the heterogeneous Allen-Cahn equation ⋮ Phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ On the Profile of Globally and Locally Minimizing Solutions of the Spatially Inhomogeneous Allen–Cahn and Fisher–KPP Equations ⋮ Resonance Phenomena in a Singular Perturbation Problem in the Case of Exchange of Stabilities ⋮ 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 ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

Cites Work

• Unnamed Item
• Stable transition layers in a semilinear boundary value problem
• Large amplitude stationary solutions to a chemotaxis system
• The gradient theory of phase transitions and the minimal interface criterion
• Elliptic Problems Involving Phase Boundaries Satisfying a Curvature Condition
• Existence and stability of transition layers
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER

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