Asymptotic behavior of minimizing \(p\)-harmonic maps when \(p \nearrow 2\) in dimension 2
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Publication:6077926
DOI10.1007/s00526-023-02568-6arXiv2301.06955OpenAlexW4317464946MaRDI QIDQ6077926
Benoît Van Vaerenbergh, Jean Van Schaftingen
Publication date: 27 September 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.06955
Cites Work
- Unnamed Item
- Unnamed Item
- An introductory course in Lebesgue spaces
- Closure of smooth maps in \(W^{1,p}(B^3;S^2)\)
- The imbedding problem for Riemannian manifolds
- On the uniform convexity of \(L^p\) and \(l^p\)
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- A note on closed isometric embeddings
- Filling Riemannian manifolds
- Harmonic maps with defects
- The approximation problem for Sobolev maps between two manifolds
- Lower bounds for the energy of unit vector fields and applications
- Density of bounded maps in Sobolev spaces into complete manifolds
- Singularities for \(p\)-energy minimizing unit vector fields on planar domains
- Degree theory of BMO. I: Compact manifolds without boundaries
- Extensions for Sobolev mappings between manifolds
- Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals
- Trace theory for Sobolev mappings into a manifold
- Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold
- Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
- \(p\)-harmonic maps to \(S^1\) and stationary varifolds of codimension two
- Strong density for higher order Sobolev spaces into compact manifolds
- Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
- Lorentz space estimates for the Ginzburg-Landau energy
- Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies
- A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
- Some inequalities in certain nonorientable Riemannian manifolds
- Intrinsic colocal weak derivatives and Sobolev spaces between manifolds
- Introduction to Smooth Manifolds
- Variational Analysis in Sobolev and BV Spaces
- Mappings minimizing theLp norm of the gradient
- Lower Bounds for Generalized Ginzburg--Landau Functionals
- Introduction to Riemannian Manifolds
- Functional Analysis
- Ginzburg-Landau vortices
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