Nonlocal functionals with non-standard growth

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Variational methods applied to PDEs (35A15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Cites Work

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Local behavior of fractional \(p\)-minimizers
Nonlocal Harnack inequalities
Local boundedness of minimizers with limit growth conditions
Bounded minimisers of double phase variational integrals
Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
A new formulation of Harnack's inequality for nonlocal operators
Regularity of harmonic functions for a class of singular stable-like processes
Local boundedness of minimizers in a limit case
Regularity of minima: an invitation to the dark side of the calculus of variations.
A priori estimates for integro-differential operators with measurable kernels
Hölder continuity of solutions to an anisotropic elliptic equation
Hölder continuity of minimizers of functionals with non standard growth conditions
Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations
Hölder regularity for bounded solutions to a class of anisotropic operators
Hölder regularity for nonlocal double phase equations
Harnack inequality for minimizers of integral functionals with general growth conditions
On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces
Self-improving inequalities for bounded weak solutions to nonlocal double phase equations
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
Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order
Regularity estimates for elliptic nonlocal operators
Harnack inequalities for double phase functionals
Fractional order Orlicz-Sobolev spaces
An alternative approach to the Hölder continuity of solutions to some elliptic equations
A class of De Giorgi type and Hölder continuity
The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
Nonlocal operators with singular anisotropic kernels
On Weak and Viscosity Solutions of Nonlocal Double Phase Equations
Harnack inequality for nonlocal problems with non-standard growth
Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
Local Hölder continuity for fractional nonlocal equations with general growth
Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth
A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces
The Wiener criterion for nonlocal Dirichlet problems

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