Regularity theory for nonlocal equations with VMO coefficients
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Publication:2693544
DOI10.4171/AIHPC/37MaRDI QIDQ2693544
Publication date: 21 March 2023
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/2101.11690
Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Integro-partial differential equations (35R09)
Related Items (5)
Local Hölder continuity for fractional nonlocal equations with general growth ⋮ A Hölder estimate with an optimal tail for nonlocal parabolic \(p\)-Laplace equations ⋮ A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double-phase equations ⋮ Local Hölder regularity for nonlocal equations with variable powers ⋮ Hölder regularity for weak solutions to nonlocal double phase problems
Cites Work
- Unnamed Item
- Unnamed Item
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- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Regularity theory for general stable operators
- Fractional elliptic equations, Caccioppoli estimates and regularity
- 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
- Hitchhiker's guide to the fractional Sobolev spaces
- Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
- Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces
- Local elliptic regularity for the Dirichlet fractional Laplacian
- On \(L_p\)-estimates for a class of non-local elliptic equations
- Regularity results for nonlocal equations by approximation
- Gradient estimates for a class of parabolic systems
- A priori estimates for integro-differential operators with measurable kernels
- Elliptic equations in divergence form with partially BMO coefficients
- Riesz transforms and elliptic PDEs with VMO coefficients
- The singular set of solutions to non-differentiable elliptic systems
- Weighted \(W^{1, p}\) estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable
- Regularity estimates for nonlocal Schrödinger equations
- Solvability of nonlocal systems related to peridynamics
- Hölder regularity for nonlocal double phase equations
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- Mosco convergence of nonlocal to local quadratic forms
- Regularity results for nonlocal equations and applications
- Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
- Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order
- Higher Hölder regularity for nonlocal equations with irregular kernel
- On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations
- \( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations
- Nonlocal self-improving properties
- Nonlocal equations with measure data
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Functions of Vanishing Mean Oscillation
- A Local estimate for nonlinear equations with discontinuous coefficients
- Elliptic equations with BMO coefficients in Lipschitz domains
- Elliptic Equations with Degenerate Weights
- Higher integrability for nonlinear nonlocal equations with irregular kernel
- Nonlocal operators with singular anisotropic kernels
- Holder estimates for solutions of integro differential equations like the fractional laplace
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