Multiple Solutions with Sign Information for a Class of Coercive (p, 2)-Equations

Papageorgiou, NS; Vetro, C; Vetro, F

doi:10.1007/s40840-019-00808-7

We consider a nonlinear Dirichlet equation driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation). The hypotheses on the reaction f(z, x) are minimal and make the energy (Euler) functional of the problem coercive. We prove two multiplicity theorems producing three and four nontrivial smooth solutions, respectively, all with sign information. We apply our multiplicity results to the particular case of a class of parametric (p, 2)-equations.

Papageorgiou, N.S., Vetro, C., & Vetro, F. (2020). Multiple Solutions with Sign Information for a Class of Coercive (p, 2)-Equations. BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 43(3), 2343-2371 [10.1007/s40840-019-00808-7].

Data di pubblicazione:	2020
Titolo:	Multiple Solutions with Sign Information for a Class of Coercive (p, 2)-Equations
Autori:	Papageorgiou, Nikolaos S. VETRO, Calogero Vetro, Francesca mostra contributor esterni nascondi contributor esterni
Citazione:	Papageorgiou, N.S., Vetro, C., & Vetro, F. (2020). Multiple Solutions with Sign Information for a Class of Coercive (p, 2)-Equations. BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 43(3), 2343-2371 [10.1007/s40840-019-00808-7].
Rivista:	BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY
Digital Object Identifier (DOI):	http://dx.doi.org/10.1007/s40840-019-00808-7
Abstract:	We consider a nonlinear Dirichlet equation driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation). The hypotheses on the reaction f(z, x) are minimal and make the energy (Euler) functional of the problem coercive. We prove two multiplicity theorems producing three and four nontrivial smooth solutions, respectively, all with sign information. We apply our multiplicity results to the particular case of a class of parametric (p, 2)-equations.
Settore Scientifico Disciplinare:	Settore MAT/05 - Analisi Matematica
Appare nelle tipologie:	1.01 Articolo in rivista

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http://hdl.handle.net/10447/416460

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