English

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains

Functional Analysis 2020-01-01 v1 Analysis of PDEs

Abstract

We study existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a non-standard cone to establish existence of solutions by means of fixed point index theory.

Keywords

Cite

@article{arxiv.1912.12647,
  title  = {Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains},
  author = {F. Cianciaruso and L. Muglia and P. Pietramala},
  journal= {arXiv preprint arXiv:1912.12647},
  year   = {2020}
}