On the Hölder continuity of monotone extremals in the borderline case

DOI10.1007/BF02384472zbMath0467.49030MaRDI QIDQ1155855

Peter Lindqvist

Publication date: 1981

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Hölder continuitydirect methodsvariational integralsBorder-line caseGehring's oscillation lemmamonotone free extremals

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Continuity properties of mappings on manifolds (58C07)

Related Items (1)

Conformally Invariant Variational Integrals

Cites Work

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• Equicontinuity theorem with an application to variational integrals
• Local behavior of solutions of quasi-linear equations
• Linear and quasilinear elliptic equations
• Mappings with bounded deformation as extremals of Dirichlet type integrals
• General theorems on semicontinuity and on convergence with a functional
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Hölder continuity of solutions of elliptic systems
• On the Holder Continuity of Quasi Conformal and Elliptic Mappings
• Rings and Quasiconformal Mappings in Space
• Harnack's inequality in the borderline case

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