A new proof of Savin's theorem on Allen-Cahn equations
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Publication:2408258
DOI10.4171/JEMS/734zbMath1388.35069arXiv1401.6480OpenAlexW1859591011MaRDI QIDQ2408258
Publication date: 12 October 2017
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.6480
Entire solutions to PDEs (35B08) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (10)
Uniform Lipschitz regularity of flat segregated interfaces in a singularly perturbed problem ⋮ Multiplicity‐1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature ⋮ On the existence of \(N\)-junctions for a symmetric nonnegative potential with \(N+1\) zeros ⋮ On the triple junction problem without symmetry hypotheses ⋮ Unnamed Item ⋮ On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg ⋮ Allen-Cahn min-max on surfaces ⋮ On nonlocal systems with jump processes of finite range and with decays ⋮ Axially symmetric solutions of the Allen-Cahn equation with finite Morse index ⋮ Variational aspects of phase transitions with prescribed mean curvature
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