Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

Unnamed Item
Nonlinear gradient estimates for generalized elliptic equations with nonstandard growth in nonsmooth domains
Local behavior of fractional \(p\)-minimizers
Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
Nonlocal Harnack inequalities
Calderón-Zygmund estimates for a class of quasilinear elliptic equations
Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
Regularity of \(\omega \)-minimizers for a class of functionals with non-standard growth
Everywhere regularity of functionals with \(\varphi \)-growth
Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
Partial Hölder regularity for elliptic systems with non-standard growth
Hölder regularity for nonlocal double phase equations
Orlicz spaces and generalized Orlicz spaces
Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
Harnack inequality for minimizers of integral functionals with general growth conditions
Mixed local and nonlocal equations with measure data
Regularity for nonlocal problems with non-standard growth
Local Hölder regularity for nonlocal equations with variable powers
Hölder regularity for weak solutions to nonlocal double phase problems
Interior and up to the boundary regularity for the fractional \(g\)-Laplacian: The convex case
Nonlocal Harnack inequalities in the Heisenberg group
Nonlocal self-improving properties
Nonlocal equations with measure data
Riesz potential estimates for a general class of quasilinear equations
The obstacle problem for nonlinear integro-differential operators
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group
Regularity theory for parabolic nonlinear integral operators
The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
Fractional p-eigenvalues
An Extension Problem Related to the Fractional Laplacian
On Weak and Viscosity Solutions of Nonlocal Double Phase Equations
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
Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian