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arXiv · 2305.02624

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

Gianmarco Giovannardi·Dimitri Mugnai·Eugenio Vecchi
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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.

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Gianmarco Giovannardi, Dimitri Mugnai, Eugenio Vecchi. 2023-05-04. An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems. https://arxiv.org/abs/2305.02624

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