Higher Hölder regularity for the fractional \(p\)-Laplace equation in the subquadratic case

DOI10.1007/S00208-024-02891-ZMaRDI QIDQ6634474

Prashanta Garain, Erik Lindgren

Publication date: 7 November 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

Hölder regularitynonlocal equationfractional \(p\)-Laplace operatorMoser-type iterationexplicit Hölder exponent

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular elliptic equations (35J75) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Integro-partial differential equations (35R09)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The second eigenvalue of the fractional \(p\)-Laplacian
• Local behavior of fractional \(p\)-minimizers
• Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
• Nonlinear commutators for the fractional \(p\)-Laplacian and applications
• Nonlocal Harnack inequalities
• Global Hölder regularity for the fractional \(p\)-Laplacian
• Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type
• Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces
• Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
• Local elliptic regularity for the Dirichlet fractional Laplacian
• Gradient potential estimates
• Pointwise decay for the solutions of degenerate and singular parabolic equations
• Nonlocal self-improving properties: a functional analytic approach
• Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
• Sharp regularity for general Poisson equations with borderline sources
• Fine boundary regularity for the degenerate fractional \(p\)-Laplacian
• Nonlocal self-improving properties
• Nonlocal equations with measure data
• A class of integral equations and approximation of \(p\)-Laplace equations
• A geometric tangential approach to sharp regularity for degenerate evolution equations
• A sharp estimate à la Calderón–Zygmund for the p-Laplacian

Related Items (3)

Fine boundary regularity for the singular fractional \(p\)-Laplacian ⋮ Higher regularity theory for \((s,p)\)-harmonic functions ⋮ Higher Hölder regularity for a subquadratic nonlocal parabolic equation

This page was built for publication: Higher Hölder regularity for the fractional \(p\)-Laplace equation in the subquadratic case

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6634474)