English

Nonzero positive solutions of a multi-parameter elliptic system with functional BCs

Analysis of PDEs 2019-02-12 v2

Abstract

We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of multi-point, integral and nonlinear boundary conditions. We also present a non-existence result. We provide some examples to illustrate the applicability our theoretical results.

Keywords

Cite

@article{arxiv.1707.02835,
  title  = {Nonzero positive solutions of a multi-parameter elliptic system with functional BCs},
  author = {Gennaro Infante},
  journal= {arXiv preprint arXiv:1707.02835},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-22T20:42:25.496Z