A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
Analysis of PDEs
2026-03-12 v1
Abstract
We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [20].
Cite
@article{arxiv.2210.14230,
title = {A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators},
author = {Kanishka Perera and Caterina Sportelli},
journal= {arXiv preprint arXiv:2210.14230},
year = {2026}
}
Comments
Preprint. arXiv admin note: substantial text overlap with arXiv:2210.13742, arXiv:2102.09131