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Bounded solutions to the Allen-Cahn equation with level sets of any compact topology

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Publication:325827
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DOI10.2140/apde.2016.9.1433zbMath1354.35026arXiv1506.00940OpenAlexW2963697126MaRDI QIDQ325827

Daniel Peralta-Salas, Alberto Enciso

Publication date: 11 October 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00940


zbMATH Keywords

level setsAllen-Cahn equation


Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15) Entire solutions to PDEs (35B08)


Related Items (6)

Two-end solutions to the Allen-Cahn equation in \(\mathbb{R}^3\) ⋮ Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ On isolated singular solutions of semilinear Helmholtz equation ⋮ Existence and Asymptotics of Nonlinear Helmholtz Eigenfunctions ⋮ On the Helmholtz equation and Dancer’s-type entire solutions for nonlinear elliptic equations ⋮ Topological monsters in elliptic equations and spectral theory




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