The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes
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Publication:2466490
DOI10.1016/j.jde.2007.10.017zbMath1144.35017OpenAlexW2035659826MaRDI QIDQ2466490
Publication date: 15 January 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.10.017
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)
Related Items (6)
Morse index of layered solutions to the heterogeneous Allen-Cahn equation ⋮ Clustering of boundary interfaces for an inhomogeneous Allen-Cahn equation on a smooth bounded domain ⋮ Fourth-Order Time-Stepping For Stiff PDEs On The Sphere ⋮ A spectral method for nonlocal diffusion operators on the sphere ⋮ Solutions with transition layer and spike in an inhomogeneous phase transition model ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit
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