Quasilinear Dirichlet systems with competing operators and convection
Analysis of PDEs
2023-05-09 v1
Abstract
In this paper, we consider a quasi-linear Dirichlet system with possible competing -Laplacians and convections. Due to the lack of ellipticity, monotonicity, and variational structure, the standard approaches to the existence of weak solutions cannot be adopted. Nevertheless, through an approximation procedure and a corollary of Brouwer's fixed point theorem we show that the problem admits a solution in a suitable sense.
Keywords
Cite
@article{arxiv.2305.03968,
title = {Quasilinear Dirichlet systems with competing operators and convection},
author = {L. Gambera and S. A. Marano and D. Motreanu},
journal= {arXiv preprint arXiv:2305.03968},
year = {2023}
}