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.
Giovannardi G., Mugnai D., Vecchi E. (2023). An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 527(2), 1-16 [10.1016/j.jmaa.2023.127442].
An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems
Vecchi E.
2023
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.File in questo prodotto:
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