p-harmonic obstacle problems. III: Boundary regularity

DOI10.1007/BF01766977zbMath0715.49005OpenAlexW2320284240MaRDI QIDQ752454

Fuchs, Martin

Publication date: 1990

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766977

zbMATH Keywords

Dirichlet problemobstacle problemsboundary regularityinterior partial regularity resultsp-energy functionalp-harmonic maps

Mathematics Subject Classification ID

Related Items (12)

Global Integrability for Solutions to Obstacle Problems ⋮ Unnamed Item ⋮ On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds ⋮ Partial and full regularity for restricted classes of p-harmonic maps ⋮ Sobolev spaces of maps and the Dirichlet problem for harmonic maps ⋮ Manifold constrained non-uniformly elliptic problems ⋮ Boundary regularity for minimizing biharmonic maps ⋮ On the Dirichlet problem for 𝑝-harmonic maps II: Targets with special structure ⋮ On the Dirichlet problem for \(p\)-harmonic maps. I: Compact targets ⋮ Sobolev and variational capacities in the Hermite setting and their applications ⋮ On weakly \(p\)-harmonic maps to a closed hemisphere ⋮ Boundary regularity for manifold constrained p(x)‐harmonic maps

Cites Work

• Unnamed Item
• p-harmonic obstacle problems. I: Partial regularity theory
• p-harmonic obstacle problems. II: Extensions of maps and applications
• Boundary regularity and the Dirichlet problem for harmonic maps
• An existence theorem for harmonic mappings of Riemannian manifolds
• Regularity for a class of nonlinear elliptic systems
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Mappings minimizing theLp norm of the gradient
• Optimal regularity theorems for variational problems with obstacles

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