Morse index of layered solutions to the heterogeneous Allen-Cahn equation

DOI10.1016/j.jde.2007.03.024zbMath1121.35042OpenAlexW2039083583MaRDI QIDQ2373815

Kimie Nakashima, Yihong Du

Publication date: 16 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.03.024

zbMATH Keywords

Morse indexSingular perturbationAllen-Cahn equationLayers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

Clustering of boundary interfaces for an inhomogeneous Allen-Cahn equation on a smooth bounded domain ⋮ Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities ⋮ Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds ⋮ Transition layer for the heterogeneous Allen-Cahn equation ⋮ 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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