Singular critical points for variational free boundary problem from isoparametric hypersurfaces

DOI10.1142/S0219199716500103zbMath1386.35495MaRDI QIDQ2800066

Lizhou Wang

Publication date: 14 April 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical pointisoparametric hypersurfacesfree boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Moving boundary problems for PDEs (35R37) Entire solutions to PDEs (35B08)

Cites Work

• Isoparametric and Dupin hypersurfaces
• Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
• Partial regularity for a minimum problem with free boundary
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• Global energy minimizers for free boundary problems and full regularity in three dimensions
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