English

Existence results for double-phase problems via Morse theory

Analysis of PDEs 2016-07-14 v1

Abstract

We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.

Cite

@article{arxiv.1607.03609,
  title  = {Existence results for double-phase problems via Morse theory},
  author = {Kanishka Perera and Marco Squassina},
  journal= {arXiv preprint arXiv:1607.03609},
  year   = {2016}
}

Comments

11 pages

R2 v1 2026-06-22T14:53:08.989Z