An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems

Autor:	Giovannardi, Gianmarco, Mugnai, Dimitri, Vecchi, Eugenio
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35A15 35J62 35R11
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:2207.14008
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.02624 Zobrazit plný text záznamu View this record from Arxiv