Gradient estimates for problems with Orlicz growth
DOI10.1016/j.na.2018.10.008zbMath1437.35289arXiv1805.11326OpenAlexW2805073487MaRDI QIDQ2309731
Publication date: 1 April 2020
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/1805.11326
Orlicz spacesMarcinkiewicz spacesLorentz spacessmoothness of solutionsgeneralization of the \(p\)-Laplacian
Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elliptic equations (35J60)
Related Items (17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Universal potential estimates
- Continuity properties of solutions to the \(p\)-Laplace system
- Superharmonic functions are locally renormalized solutions
- Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
- Global estimates for quasilinear elliptic equations on Reifenberg flat domains
- Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data
- Gradient estimates below the duality exponent
- Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Nonlinear elliptic and parabolic equations involving measure data
- Well-posed elliptic Neumann problems involving irregular data and domains
- A note on Riesz potentials
- The Wiener test and potential estimates for quasilinear elliptic equations
- The \(p\)-harmonic system with measure-valued right hand side
- Nonlinear elliptic systems with measure-valued right hand side
- A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
- Quasilinear elliptic problems with general growth and merely integrable, or measure, data
- Vectorial nonlinear potential theory
- Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
- Global integral gradient bounds for quasilinear equations below or near the natural exponent
- Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or \(L^1\) data
- Fully anisotropic elliptic problems with minimally integrable data
- Neumann problems for nonlinear elliptic equations with \(L^1\) data
- Riesz potential estimates for a general class of quasilinear equations
- Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems
- Sharp forms of estimates for subsolutions and supersolutions of quasilinear elliptic equations involving measures
- On Morrey-Besov inequalities
- Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
- Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
- Fractional estimates for non-differentiable elliptic systems with general growth
- Nonlinear Elliptic Equations with Right Hand Side Measures
- Gradient regularity for minimizers under general growth conditions
- On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- A sharp embedding theorem for Orlicz-Sobolev spaces
- Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
- Guide to nonlinear potential estimates
- Estimates for \(p\)-Poisson equations
This page was built for publication: Gradient estimates for problems with Orlicz growth