Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in \(\mathbb{R}^3\)

DOI10.4310/jdg/1357141507zbMath1275.53015arXiv0902.2047OpenAlexW2962707324WikidataQ115169806 ScholiaQ115169806MaRDI QIDQ360062

Manuel A. del Pino, Wei, Juncheng, Michał Kowalczyk

Publication date: 26 August 2013

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

Full work available at URL: https://arxiv.org/abs/0902.2047

zbMATH Keywords

finite total curvatureminimal surfacesbounded solutionsendsAllen-Cahn equationentire solutionsfinite Morse index

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Entire solutions to PDEs (35B08) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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