On regularity theory for \(n/p\)-harmonic maps into manifolds

DOI10.1016/j.na.2017.10.001zbMath1374.58006arXiv1709.02329OpenAlexW2750709357MaRDI QIDQ1680333

Francesca Da Lio, Armin Schikorra

Publication date: 15 November 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02329

zbMATH Keywords

regularity of solutionscommutator estimatesfractional harmonic mapsnonlinear elliptic PDE's

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20) Variational methods for second-order elliptic equations (35J20) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (10)

Integrability by compensation for Dirac equation ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Half-harmonic gradient flow: aspects of a non-local geometric PDE ⋮ The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems ⋮ Epsilon-regularity for \(p\)-harmonic maps at a free boundary on a sphere ⋮ Three-commutators revisited ⋮ Solvability of nonlocal systems related to peridynamics ⋮ Uniqueness and regularity of the fractional harmonic gradient flow in \(S^{n-1}\) ⋮ Partial regularity for fractional harmonic maps into spheres ⋮ Some Remarks on Pohozaev-Type Identities

Cites Work

• Unnamed Item
• Fractional harmonic maps into manifolds in odd dimension \(n > 1\)
• Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
• Local Lipschitz regularity for degenerate elliptic systems
• Sub-criticality of Schrödinger systems with antisymmetric potentials
• Regularity of weak solutions of \(n\)-dimensional \(H\)-systems.
• Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres
• Regularity of \(n/2\)-harmonic maps into spheres
• A remark on gauge transformations and the moving frame method
• Connections with \(L^ p \)bounds on curvature
• Factorization theorems for Hardy spaces in several variables
• A note on Riesz potentials
• Fractional div-curl quantities and applications to nonlocal geometric equations
• On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
• Compactness and bubble analysis for 1/2-harmonic maps
• \(L^p\)-gradient harmonic maps into spheres and \(SO(N)\).
• Invitation to \(H\)-systems in higher dimensions: known results, new facts, and related open problems
• Conservation laws for conformally invariant variational problems
• Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth
• A note on regularity for then-dimensional H-system assuming logarithmic higher integrability
• Classical Fourier Analysis
• Integro-Differential Harmonic Maps into Spheres
• n/p-harmonic maps: Regularity for the sphere case
• \(\varepsilon\)-regularity for systems involving non-local, antisymmetric operators

This page was built for publication: On regularity theory for \(n/p\)-harmonic maps into manifolds