Hölder continuity of solutions to an anisotropic elliptic equation
From MaRDI portal
Publication:1030064
DOI10.1016/j.na.2009.01.007zbMath1205.35125OpenAlexW2057542636MaRDI QIDQ1030064
Vitali Liskevich, Igor I. Skrypnik
Publication date: 1 July 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.01.007
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62)
Related Items (25)
\(1\)-dimensional Harnack estimates ⋮ An alternative approach to the Hölder continuity of solutions to some elliptic equations ⋮ Local Hölder continuity of weak solutions for an anisotropic elliptic equation ⋮ Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions ⋮ Local boundedness of quasi-minimizers of integral functionals with variable exponent anisotropic growth and applications ⋮ Removable isolated singularities for solutions of anisotropic porous medium equation ⋮ Unnamed Item ⋮ Regularity under general and \(p,q\)-growth conditions ⋮ On the local behavior of local weak solutions to some singular anisotropic elliptic equations ⋮ Unnamed Item ⋮ Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations ⋮ Higher integrability for anisotropic parabolic systems of \(p\)-Laplace type ⋮ Unnamed Item ⋮ Hölder regularity for bounded solutions to a class of anisotropic operators ⋮ Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents ⋮ Local boundedness of minimizers with limit growth conditions ⋮ What I Learnt from Emmanuele DiBenedetto ⋮ Removability of isolated singularities for anisotropic elliptic equations with gradient absorption ⋮ Anisotropic Picone identities and anisotropic Hardy inequalities ⋮ Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals ⋮ Intrinsic geometry and De Giorgi classes for certain anisotropic problems ⋮ A unified approach to the Hölder regularity of solutions to degenerate and singular parabolic equations ⋮ Local regularity for an anisotropic elliptic equation ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence ⋮ Local continuity of singular anisotropic parabolic equations with variable growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerate parabolic equations
- Local boundedness of minimizers in a limit case
- Harnack estimates for quasi-linear degenerate parabolic differential equations
- Growth conditions and regularity. A counterexample
- Gradient estimates for anisotropic elliptic equations
- Linear and quasilinear elliptic equations
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Some remarks on the regularity of minima of anisotropic integrals
- Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition
- Variable Exponent, Linear Growth Functionals in Image Restoration
This page was built for publication: Hölder continuity of solutions to an anisotropic elliptic equation