Noncoercive quasilinear elliptic operators with singular lower order terms
Analysis of PDEs
2020-06-29 v1
Abstract
We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem. The associated obstacle problem is also solved. Finally, we show higher integrability of a solution to the Dirichlet problem when the datum is more regular.
Cite
@article{arxiv.2006.14885,
title = {Noncoercive quasilinear elliptic operators with singular lower order terms},
author = {Fernando Farroni and Luigi Greco and Gioconda Moscariello and Gabriella Zecca},
journal= {arXiv preprint arXiv:2006.14885},
year = {2020}
}