Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition
Analysis of PDEs
2019-10-04 v2
Abstract
In this paper we study quasilinear elliptic systems with nonlinear boundary condition with fully coupled perturbations even on the boundary. Under very general assumptions our main result says that each weak solution of such systems belongs to . The proof is based on Moser's iteration scheme. The results presented here can also be applied to elliptic systems with homogeneous Dirichlet boundary condition.
Keywords
Cite
@article{arxiv.1906.03011,
title = {Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition},
author = {Greta Marino and Patrick Winkert},
journal= {arXiv preprint arXiv:1906.03011},
year = {2019}
}