Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles

DOI10.1007/BF01187241zbMath0275.49007MaRDI QIDQ2265657

Stefan Hildebrandt

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/171893

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

On variational problems with obstacles and integral constraints for vector-valued functions ⋮ Geometry of \([\varphi, {\mathbf{e}}_3\)-minimal surfaces in \(\mathbb{R}^3\)] ⋮ Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature ⋮ Isoperimetric inequalities and the problem of Plateau ⋮ Equilibrium of surfaces in a vertical force field ⋮ On \(C^{1, \alpha}\)-regularity for critical points of a geometric obstacle-type problem ⋮ Variational problems with obstacles and a volume constraint ⋮ Variational problems with non-convex obstacles and an integral constraint for vector-valued functions

Cites Work

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• Hölder continuity of solutions of elliptic systems
• Variationsprobleme vom Dirichlet-Typ mit einer Ungleichung als Nebenbedingung
• Two‐dimensional variational problems with obstructions, and Plateau's problem for h‐surfaces in a riemannian manifold