Clustered interior phase transition layers for an inhomogeneous Allen-Cahn equation in higher dimensional domains
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Publication:1948047
DOI10.3934/CPAA.2013.12.303zbMath1266.35072OpenAlexW2313022564MaRDI QIDQ1948047
Publication date: 30 April 2013
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.303
Nonlinear elliptic equations (35J60) Index theory and related fixed-point theorems on manifolds (58J20)
Related Items (11)
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers ⋮ 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 ⋮ 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 ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ Stable transition layer for the Allen–Cahn equation when the spatial inhomogeneity vanishes on a nonsmooth hypersurface in ℝn ⋮ Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds ⋮ Phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ Layered solutions for a fractional inhomogeneous Allen-Cahn equation ⋮ Clustering phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation
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