On the Dirichlet problem for 𝑝-harmonic maps II: Targets with special structure

DOI10.1090/proc/12962zbMath1343.58009OpenAlexW2321205224WikidataQ125601268 ScholiaQ125601268MaRDI QIDQ2802133

Stefano Pigola, Giona Veronelli

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12962

zbMATH Keywords

maximum principleDirichlet problem\(p\)-harmonic mapscompact hyperbolic manifoldsCartan-Hadamard manifoldsrotationally symmetric

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (7)

\(\mathcal F\)-harmonic maps between doubly warped product manifolds ⋮ Existence and rigidity of quantum isometry groups for compact metric spaces ⋮ Sobolev spaces of maps and the Dirichlet problem for harmonic maps ⋮ The Radó-Kneser-Choquet theorem for \(p\)-harmonic mappings between Riemannian surfaces ⋮ Geometric rigidity of constant heat flow ⋮ On the Dirichlet problem for \(p\)-harmonic maps. I: Compact targets ⋮ The Cartan-Hadamard conjecture and the little prince

Cites Work

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• p-harmonic obstacle problems. III: Boundary regularity
• Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
• Lectures on surgical methods in rigidity
• Regularity and uniqueness of \(p\)-harmonic maps with small range
• On \(p\)-harmonic maps and convex functions
• On the Dirichlet problem for \(p\)-harmonic maps. I: Compact targets
• Compact Clifford-Klein forms of symmetric spaces
• Mappings minimizing theLp norm of the gradient
• The problem of optimal smoothing for convex functions
• Sobolev spaces of maps and the Dirichlet problem for harmonic maps

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