An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems
Analysis of PDEs
2023-05-26 v2
Abstract
We prove the existence and multiplicity of weak solutions for a mixed local-nonlocal problem at resonance. In particular, we consider a not necessarily positive operator which appears in models describing the propagation of flames. A careful adaptation of well known variational methods is required to deal with the possible existence of negative eigenvalues.
Keywords
Cite
@article{arxiv.2305.02624,
title = {An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems},
author = {Gianmarco Giovannardi and Dimitri Mugnai and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2305.02624},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2207.14008