Boundary regularity for quasiminima

DOI10.1007/BF00280439zbMath0611.35030MaRDI QIDQ1087723

William P. Ziemer

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

regularityweak solutionsboundary pointweak Harnack inequalityp-capacityquasiminimanondifferentiable variational integrals

Mathematics Subject Classification ID

Related Items (18)

Boundary regularity for weighted quasi-minima—II ⋮ Necessity of a Wiener type condition for boundary regularity of quasiminimizers and nonlinear elliptic equations ⋮ Boundary regularity for parabolic quasiminima ⋮ Existence of solutions to obstacle problems ⋮ Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers ⋮ Moser iteration for (quasi)minimizers on metric spaces ⋮ Wiener criterion on metric spaces: boundary regularity in axiomatic and Poincaré-Sobolev spaces ⋮ Nonlinear nonlocal Douglas identity ⋮ BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers ⋮ Cluster sets for Sobolev functions and quasiminimizers ⋮ Harnack's inequality for quasiminimizers with nonstandard growth conditions ⋮ Regularity properties for quasiminimizers of a \((p, q)\)-Dirichlet integral ⋮ Harnack's principle for quasiminimizers ⋮ \(p\)-harmonic functions with boundary data having jump discontinuities and Baernstein's problem ⋮ Quasiminima of the Lipschitz extension problem ⋮ A Wiener-type condition for boundary continuity of quasi-minima of variational integrals ⋮ A class of De Giorgi type and Hölder continuity ⋮ Minima of quasisuperminimizers

Cites Work

• Unnamed Item
• Harnack inequalities for quasi-minima of variational integrals
• Behavior at the boundary of solutions of quasilinear elliptic equations
• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Quasi topologies and rational approximation
• A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
• On harnack type inequalities and their application to quasilinear elliptic equations
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• Approximation in L p by Solutions of Elliptic Partial Differential Equations

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