A priori bounds for weak solutions to elliptic equations with nonstandard growth
Analysis of PDEs
2015-10-05 v3
Abstract
In this paper we study elliptic equations with a nonlinear conormal derivative boundary condition involving nonstandard growth terms. By means of the localization method and De Giorgi's iteration technique we derive global a priori bounds for weak solutions of such problems.
Keywords
Cite
@article{arxiv.1102.1646,
title = {A priori bounds for weak solutions to elliptic equations with nonstandard growth},
author = {Patrick Winkert and Rico Zacher},
journal= {arXiv preprint arXiv:1102.1646},
year = {2015}
}
Comments
14 pages