Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order
From MaRDI portal
Publication:2128590
DOI10.1515/anona-2022-0243zbMath1487.35149arXiv2104.07507OpenAlexW3156068483MaRDI QIDQ2128590
Publication date: 22 April 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07507
Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order, Local boundedness of variational solutions to nonlocal double phase parabolic equations, The Wiener criterion for nonlocal Dirichlet problems, Gradient regularity in mixed local and nonlocal problems, Regularity theory for nonlocal equations with VMO coefficients, Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements, Local Hölder regularity for nonlocal equations with variable powers, Existence of variational solutions to nonlocal evolution equations via convex minimization
Cites Work
- Unnamed Item
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Local behavior of fractional \(p\)-minimizers
- Nonlocal Harnack inequalities
- Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type
- Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
- Intrinsic geometry and De Giorgi classes for certain anisotropic problems
- Gradient potential estimates
- Regularity of harmonic functions for a class of singular stable-like processes
- The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains
- A priori estimates for integro-differential operators with measurable kernels
- Lectures on analysis on metric spaces
- Harnack inequalities for jump processes
- On the Lipschitz character of orthotropic \(p\)-harmonic functions
- Optimal elliptic regularity: a comparison between local and nonlocal equations
- Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian
- Elliptic Harnack inequalities for symmetric non-local Dirichlet forms
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
- Regularity results for nonlocal equations and applications
- On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian
- Existence of densities for stochastic differential equations driven by Lévy processes with anisotropic jumps
- Fractional Sobolev inequalities revisited: the maximal function approach
- Regularity of solutions to anisotropic nonlocal equations
- Higher Hölder regularity for nonlocal equations with irregular kernel
- Semigroup properties of solutions of SDEs driven by Lévy processes with independent coordinates
- Three representations of the fractional \(p\)-Laplacian: semigroup, extension and Balakrishnan formulas
- Regularity estimates for elliptic nonlocal operators
- \( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations
- Harnack's inequality for parabolic nonlocal equations
- Function spaces and extension results for nonlocal Dirichlet problems
- The Dirichlet problem for nonlocal operators
- Harnack inequalities for SDEs driven by cylindrical \(\alpha\)-stable processes
- Nonlocal equations with measure data
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Local Regularity for Parabolic Nonlocal Operators
- Regularity theory for parabolic nonlinear integral operators
- Continuity of Solutions of Parabolic and Elliptic Equations
- Non-local Dirichlet forms and symmetric jump processes
- On Harnack's theorem for elliptic differential equations
- Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes
- On the anisotropic stable JCIR process
- Modern Fourier Analysis
- Nonlocal operators with singular anisotropic kernels
- Regularity results for nonlocal parabolic equations
- Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
- The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞
- Holder estimates for solutions of integro differential equations like the fractional laplace
