English

On the existence of a second positive solution to mixed local-nonlocal concave-convex critical problems

Analysis of PDEs 2024-03-28 v1

Abstract

We prove the existence of a second positive weak solution for mixed local-nonlocal critical semilinear elliptic problems with a sublinear perturbation in the spirit of [Ambrosetti, Brezis, Cerami, 1994].

Keywords

Cite

@article{arxiv.2403.18424,
  title  = {On the existence of a second positive solution to mixed local-nonlocal concave-convex critical problems},
  author = {Stefano Biagi and Eugenio Vecchi},
  journal= {arXiv preprint arXiv:2403.18424},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2308.09794