English

Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities

Analysis of PDEs 2024-03-27 v1

Abstract

We prove the existence of multiple signed bounded solutions for a quasilinear elliptic equation with concave and convex nonlinearities. For this, we use a variational approach in an intersection Banach space indroduced by Candela and Palmieri, and a truncation technique given by Garcia Azorero and Peral.

Keywords

Cite

@article{arxiv.2403.17821,
  title  = {Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities},
  author = {Federica Mennuni and Addolorata Salvatore},
  journal= {arXiv preprint arXiv:2403.17821},
  year   = {2024}
}
R2 v1 2026-06-28T15:34:21.318Z