Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces
Analysis of PDEs
2022-07-22 v1
Abstract
We establish some existence and regularity results to the Dirichlet problem, for a class of quasilinear elliptic equations involving a partial differential operator, depending on the gradient of the solution. Our results are formulated in the Orlicz Sobolev spaces and under general growth conditions on the convection term. The sub and supersolutions method is a key tool in the proof of the existence results.
Keywords
Cite
@article{arxiv.2207.10426,
title = {Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces},
author = {Giuseppina Barletta and Elisabetta Tornatore},
journal= {arXiv preprint arXiv:2207.10426},
year = {2022}
}