A Single Phase Variational Problem Involving the Area of Level Surfaces

DOI10.1081/PDE-120021183zbMath1058.49031OpenAlexW2073637622MaRDI QIDQ4707063

Fernando D. Mazzone

Publication date: 9 June 2003

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

Full work available at URL: https://doi.org/10.1081/pde-120021183

zbMATH Keywords

existence and regularity of solutions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Full regularity of a free boundary problem with two phases ⋮ Motion of sets by curvature and derivative of capacity potential ⋮ A free boundary problem in Orlicz spaces related to mean curvature ⋮ A minimization problem for the \(p(x)\)-Laplacian involving area ⋮ Existence and regularity of minimizers for some spectral functionals with perimeter constraint

Cites Work

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• Linear and quasilinear elliptic equations
• An area-Dirichlet integral minimization problem
• Best approximants in L ? -spaces
• Variational problems with two phases and their free boundaries
• On harnack type inequalities and their application to quasilinear elliptic equations

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