Regularity theory for non-autonomous problems with a priori assumptions

DOI10.1007/s00526-023-02587-3zbMath1529.35109arXiv2209.08917MaRDI QIDQ6080085

Publication date: 30 October 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08917

zbMATH Keywords

Orlicz double phase degenerate double phase Orlicz variable exponent perturbed variable exponent triple phase

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Regularity of solutions in optimal control (49N60) Quasilinear elliptic equations (35J62)

Related Items (2)

Unnamed Item ⋮ A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces

Cites Work

Unnamed Item
Unnamed Item
The $\varphi$-harmonic approximation and the regularity of $\varphi$-harmonic maps
Bounded minimisers of double phase variational integrals
Hölder regularity of quasiminimizers under generalized growth conditions
Lebesgue and Sobolev spaces with variable exponents
BMO estimates for the $p$-Laplacian
Harnack inequality for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
The maximal operator on generalized Orlicz spaces
Calderón-Zygmund estimates and non-uniformly elliptic operators
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
On Lavrentiev's phenomenon
Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions
Orlicz spaces and generalized Orlicz spaces
Regularity for general functionals with double phase
A new proof of local $C^{1,\alpha}$ regularity for solutions of certain degenerate elliptic P.D.E
Sharp regularity for functionals with ($p$,$q$) growth
Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
New examples on Lavrentiev gap using fractals
Gradient estimates for multi-phase problems
Double phase image restoration
Boundedness of fractional maximal operators for double phase functionals with variable exponents
Lipschitz bounds and nonautonomous integrals
Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces
A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces
Maximal regularity for local minimizers of non-autonomous functionals
A new class of double phase variable exponent problems: existence and uniqueness
Gradient estimates for Orlicz double phase problems with variable exponents
Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure
Optimal gradient estimates for multi-phase integrals
Irregular obstacle problems for Orlicz double phase
Regularity for double phase variational problems
Regularity for double phase problems under additional integrability assumptions
Harnack inequalities for double phase functionals
Nonlinear elliptic equations with variable exponent: old and new
Regularity and existence of solutions of elliptic equations with p,q- growth conditions
On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth
Non-autonomous functionals, borderline cases and related function classes
C1 + α local regularity of weak solutions of degenerate elliptic equations
Sharp 𝒜-harmonic approximation
Trudinger's inequality for double phase functionals with variable exponents
Gradient estimates for multi-phase problems in Campanato spaces
A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
Lipschitz Bounds and Nonuniform Ellipticity
Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
Interior continuity, continuity up to the boundary, and Harnack's inequality for double‐phase elliptic equations with nonlogarithmic conditions
Bloch estimates in non-doubling generalized Orlicz spaces

This page was built for publication: Regularity theory for non-autonomous problems with a priori assumptions