Interior and up to the boundary regularity for the fractional \(g\)-Laplacian: The convex case
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Publication:2157311
DOI10.1016/j.na.2022.113060zbMath1497.35274arXiv2008.05543OpenAlexW3048387032WikidataQ113868530 ScholiaQ113868530MaRDI QIDQ2157311
Ariel Martin Salort, Hernán Vivas, Julián Fernández Bonder
Publication date: 27 July 2022
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/2008.05543
Smoothness and regularity of solutions to PDEs (35B65) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (13)
Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces ⋮ Harnack inequality for nonlocal problems with non-standard growth ⋮ Local Hölder continuity for fractional nonlocal equations with general growth ⋮ Harnack inequality for the nonlocal equations with general growth ⋮ Multiplicity of solutions for nonlocal parametric elliptic systems in fractional Orlicz-Sobolev spaces ⋮ Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity ⋮ Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth ⋮ Non-local equations and optimal Sobolev inequalities on compact manifolds ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz-Sobolev spaces ⋮ Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- Regularity theory for general stable operators
- Boundary regularity for fully nonlinear integro-differential equations
- Local behavior of fractional \(p\)-minimizers
- Schauder estimates for nonlocal fully nonlinear equations
- Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
- Nonlocal Harnack inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
- Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
- Global Hölder regularity for the fractional \(p\)-Laplacian
- The Evans-Krylov theorem for nonlocal fully nonlinear equations
- Regularity results for nonlocal equations by approximation
- Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains
- \(W^{\sigma,\epsilon}\)-estimates for nonlocal elliptic equations
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- Regularity for solutions of nonlocal, nonsymmetric equations
- Fractional eigenvalues in Orlicz spaces with no \(\Delta_2\) condition
- A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
- Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
- Eigenvalues and minimizers for a non-standard growth non-local operator
- Fractional order Orlicz-Sobolev spaces
- Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators
- Fractional eigenvalues
- Regularity theory for fully nonlinear integro-differential equations
- Financial Modelling with Jump Processes
- C1, αInterior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels
- Nonlocal equations in bounded domains: a survey
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