Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs
Analysis of PDEs
2020-11-17 v1
Abstract
We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities. We prove the existence of non-negative solutions and provide a non-existence result. We present some examples to illustrate the applicability of the existence and non-existence results.
Keywords
Cite
@article{arxiv.1912.02645,
title = {Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs},
author = {Stefano Biagi and Alessandro Calamai and Gennaro Infante},
journal= {arXiv preprint arXiv:1912.02645},
year = {2020}
}