A New Type of Free Boundary Problem with Volume Constraint

DOI10.1081/PDE-120037333zbMath1067.49030MaRDI QIDQ3157910

Fang-Hua Lin, Huiqiang Jiang

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

partial regularityfree boundaryharmonic mappingliquid crystal

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (3)

Analytic regularity of a free boundary problem ⋮ A minimization problem with free boundary related to a cooperative system ⋮ Full regularity of a free boundary problem with two phases

Cites Work

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• Regularity theory for almost minimal currents
• The obstacle problem revisited
• Partial regularity for optimal design problems involving both bulk and surface energies
• Variational problems with free interfaces
• An area-Dirichlet integral minimization problem
• Variational problems with two phases and their free boundaries
• Boundary regularity and embedded solutions for the oriented Plateau problem

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