Existence of \(p\) harmonic multiple valued maps into a separable Hilbert space

DOI10.5802/AIF.2944zbMath1332.49044arXiv1402.3497OpenAlexW2562831576MaRDI QIDQ748393

Philippe Bouafia, Jordan Goblet, Thierry De Pauw

Publication date: 20 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3497

zbMATH Keywords

Poincaré inequalityLuzin approximationseparable Hilbert spaces\(p\)-harmonic multiple valued mapsAlmgren embedding theoremFréchet-Kolmogorov compactness theoremRellich compactnessSobolev multiple valued maps

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods for elliptic systems (35J50)

Related Items (3)

A multiple-valued plateau problem ⋮ Multiple valued maps into a separable Hilbert space that almost minimize their \(p\) Dirichlet energy or are squeeze and squash stationary ⋮ Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps

Cites Work

• Extensions of Lipschitz maps into Banach spaces
• 𝑄-valued functions revisited
• Hölder Continuity of Roots of Complex andp-adic Polynomials
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Direct methods in the calculus of variations
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