On the regularity of solutions for a singular variational problem

DOI10.1007/PL00004632zbMath0934.49021OpenAlexW2058964834MaRDI QIDQ1808244

Ulrich Dierkes

Publication date: 6 December 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004632

zbMATH Keywords

regularity theoryboundary regularityanalyticity of solutionsisoperimetric conditionBV-solutionsvariational problems with linear growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Variational methods for second-order elliptic equations (35J20) Optimality conditions for free problems in two or more independent variables (49K10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Mean convexity of the zero set of symmetric minimal surfaces ⋮ Qualitative analysis of a curvature equation modelling MEMS with vertical loads ⋮ The Dirichlet problem for the \(\alpha \)-singular minimal surface equation ⋮ On solutions of the singular minimal surface equation ⋮ Removable singularities of solutions of the symmetric minimal surface equation

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