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Nonlinear resonance: a comparison between Landesman-Lazer and Ahmad-Lazer-Paul conditions

TitleNonlinear resonance: a comparison between Landesman-Lazer and Ahmad-Lazer-Paul conditions
Publication TypeJournal Article
Year of Publication2011
AuthorsFonda, A, Garrione, M
JournalAdvanced Nonlinear Studies
Volume11
Pagination391–404
Abstract

We show that the Ahmad-Lazer-Paul condition for resonant problems is more general than the Landesman-Lazer one, discussing some relations with other existence conditions, as well. As a consequence, such a relation holds, for example, when considering resonant boundary value problems associated with linear elliptic operators, the p-Laplacian and, in the scalar case, with an asymmetric oscillator.

DOI10.1515/ans-2011-0209

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