Sobolev spaces of maps and the Dirichlet problem for harmonic maps
From MaRDI portal
Publication:4622588
DOI10.1142/S0219199717500912zbMath1408.58014arXiv1412.3429MaRDI QIDQ4622588
Giona Veronelli, Stefano Pigola
Publication date: 13 February 2019
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.3429
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic maps, etc. (58E20)
Related Items
The Radó-Kneser-Choquet theorem for \(p\)-harmonic mappings between Riemannian surfaces, On the Dirichlet problem for 𝑝-harmonic maps II: Targets with special structure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence proofs for harmonic mappings with the help of a maximum principle
- p-harmonic obstacle problems. I: Partial regularity theory
- p-harmonic obstacle problems. III: Boundary regularity
- Boundary regularity and the Dirichlet problem for harmonic maps
- A note on closed isometric embeddings
- A regularity theory for harmonic maps
- Rotationally symmetric harmonic maps from a ball into a warped product manifold
- Boundary regularity for minima of certain quadratic functionals
- An existence theorem for harmonic mappings of Riemannian manifolds
- Boundary regularity of harmonic maps to nonpositively curved metric spaces
- Sobolev spaces and harmonic maps for metric space targets
- An intrinsic approach to manifold constrained variational problems
- Sobolev-type classes of functions with values in a metric space
- On the Jäger-Kaul theorem concerning harmonic maps
- Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above
- On the Dirichlet problem for \(p\)-harmonic maps. I: Compact targets
- Generalized Dirichlet forms and harmonic maps
- On the Dirichlet problem for 𝑝-harmonic maps II: Targets with special structure
- Intrinsic colocal weak derivatives and Sobolev spaces between manifolds
- Natural Operations on Differential Forms
- Extending Diffeomorphisms
- Mappings minimizing theLp norm of the gradient
- Existence and regularity of weak solutions to the Dirichletproblem for semilinear elliptic systems of higher order.
- Harmonic maps
- Harmonic Mappings of Riemannian Manifolds
- Optimal regularity theorems for variational problems with obstacles
- Direct methods in the calculus of variations