Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions

DOI10.1016/j.jde.2005.08.006zbMath1357.35126OpenAlexW2087902821MaRDI QIDQ818432

Zongming Guo, Yihong Du

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.08.006

zbMATH Keywords

boundary layerreduction methodboundary blow-upbistablespike layer

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44)

Related Items

A note on interface formation in singularly perturbed elliptic problems, Morse index of layered solutions to the heterogeneous Allen-Cahn equation, Existence, nonexistence and asymptotic behavior of boundary blow-up solutions to \(p(x)\)-Laplacian problems with singular coefficient, Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights, Transition-layer solutions of quasilinear elliptic boundary blow-up problems and Dirichlet problems, The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes, Solutions with transition layer and spike in an inhomogeneous phase transition model

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