Global boundedness and Hölder continuity of quasiminimizers with the general nonstandard growth conditions
From MaRDI portal
Publication:2312564
DOI10.1016/J.NA.2019.02.016zbMath1419.49045OpenAlexW2923765400MaRDI QIDQ2312564
Publication date: 17 July 2019
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.2019.02.016
Regularity of solutions in optimal control (49N60) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hölder continuity of quasiminimizers with nonstandard growth
- Bounded minimisers of double phase variational integrals
- Lebesgue and Sobolev spaces with variable exponents
- Quasi-minima
- Harnack's inequality for quasiminimizers with nonstandard growth conditions
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Overview of differential equations with non-standard growth
- Growth conditions and regularity. A counterexample
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On the regularity of the minima of variational integrals
- Hölder continuity of minimizers of functionals with variable growth exponent
- Elliptic partial differential equations of second order
- Regularity results for stationary electro-rheological fluids
- Local boundedness of general minimizers with nonstandard growth
- The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
- Global \(L^\infty\)-estimates and Hölder continuity of weak solutions to elliptic equations with the general nonstandard growth conditions
- Non-autonomous functionals, borderline cases and related function classes
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Some remarks on the regularity of minima of anisotropic integrals
- Hölder continuity of the gradient of p(x)-harmonic mappings
- A class of De Giorgi type and Hölder continuity
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Regularity results for a class of functionals with non-standard growth
- Mathematical modeling of electrorheological materials
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Global boundedness and Hölder continuity of quasiminimizers with the general nonstandard growth conditions