Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
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Publication:1789500
DOI10.1016/j.aim.2018.09.009zbMath1400.35049arXiv1711.09835OpenAlexW2963805456MaRDI QIDQ1789500
Armin Schikorra, Erik Lindgren, Lorenzo Brasco
Publication date: 10 October 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.09835
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Renormalization of potentials and generalized centers
- Non-local gradient dependent operators
- On nonlocal quasilinear equations and their local limits
- 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
- Gradient potential estimates
- Regularity results for nonlocal equations by approximation
- On the regularity of the minima of variational integrals
- Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
- Nonlocal self-improving properties: a functional analytic approach
- Nonlocal self-improving properties
- Nonlocal equations with measure data
- A class of integral equations and approximation of \(p\)-Laplace equations
- The obstacle problem for nonlinear integro-differential operators
- Nonlocal Tug-of-War and the Infinity Fractional Laplacian
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Rigidity Results for Some Boundary Quasilinear Phase Transitions
- Regularity for a fractional p-Laplace equation
- A sharp estimate à la Calderón–Zygmund for the p-Laplacian
- Guide to nonlinear potential estimates
- The Two-Phase Fractional Obstacle Problem
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