Interior regularity for fractional systems

DOI10.1016/j.anihpc.2018.04.004zbMath1411.35111arXiv1604.04442OpenAlexW2963121863WikidataQ129911945 ScholiaQ129911945MaRDI QIDQ1755173

Gonzalo Dávila, Luis A. Caffarelli

Publication date: 8 January 2019

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04442

zbMATH Keywords

a priori estimatesfractional elliptic systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items

Equivalence of weak and viscosity solutions in fractional non-homogeneous problems ⋮ Comparison principles for nonlocal Hamilton-Jacobi equations ⋮ Regularity for parabolic systems with critical growth in the gradient and applications ⋮ Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces ⋮ Fractional KPZ equations with fractional gradient term and Hardy potential ⋮ Deterministic KPZ-type equations with nonlocal ``gradient terms ⋮ Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’

Cites Work

• Unnamed Item
• Fractional harmonic maps into manifolds in odd dimension \(n > 1\)
• Nonlocal Harnack inequalities
• Hitchhiker's guide to the fractional Sobolev spaces
• Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
• Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres
• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Regularity of \(n/2\)-harmonic maps into spheres
• Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme
• An existence theorem for harmonic mappings of Riemannian manifolds
• On regularity for Beurling-Deny type Dirichlet forms
• On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
• Regularity theory for fully nonlinear integro-differential equations
• Regularity theorems for weak solutions of some nonlinear systems
• Integro-Differential Harmonic Maps into Spheres
• n/p-harmonic maps: Regularity for the sphere case
• \(\varepsilon\)-regularity for systems involving non-local, antisymmetric operators
• \(C^{\sigma +\alpha}\) regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels