Local boundedness for weak solutions to some quasilinear elliptic systems
Analysis of PDEs
2019-11-15 v1
Abstract
We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample. Here we assume a condition on the support of off-diagonal coefficients that "keeps away" the counterexample and allows us to prove local boundedness of weak solutions.
Cite
@article{arxiv.1911.05987,
title = {Local boundedness for weak solutions to some quasilinear elliptic systems},
author = {Salvatore Leonardi and Francesco Leonetti and Cristina Pignotti and Eugenio Rocha and Vasile Staicu},
journal= {arXiv preprint arXiv:1911.05987},
year = {2019}
}