A regularity theorem for energy minimizing maps of riemannian manifolds

DOI10.1080/03605308708820528zbMath0619.58019OpenAlexW1967718713MaRDI QIDQ3756182

Fuchs, Martin

Publication date: 1987

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308708820528

zbMATH Keywords

obstructionRiemannian manifoldsenergy minimizing map

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational principles in infinite-dimensional spaces (58E30) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

An elementary partial regularity proof for vector-valued obstacle problems ⋮ The regularity of minima of variational problems with graph obstacles ⋮ The smoothness of the free boundary for a class of vector-valued problems ⋮ The existence of a heat flow for problems with nonconvex obstacles outgoing to the boundary ⋮ Heat flows for a nonconvex Signorini type problem in \(\mathbb R^N\) ⋮ p-harmonic obstacle problems. I: Partial regularity theory ⋮ A problem with an obstacle that goes out to the boundary of the domain for a class of quadratic functionals on $\mathbb{R}^{N}$ ⋮ Variational problem with an obstacle in \(\mathbb R^N\) for a class of quadratic functionals

Cites Work

• Variational problems with non-convex obstacles and an integral constraint for vector-valued functions
• Some remarks on the boundary regularity for minima of variational problems with obstacles
• An existence theorem for harmonic mappings of Riemannian manifolds
• Variational inequalities and harmonic mappings.

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