We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.

Onete F.-I., Papageorgiou N.S., Vetro C. (2020). A multiplicity theorem for parametric superlinear (p, q)-equations. OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA, 40(1), 131-149 [10.7494/OpMath.2020.40.1.131].

A multiplicity theorem for parametric superlinear (p, q)-equations

Vetro C.
2020-01-01

Abstract

We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.
2020
Settore MAT/05 - Analisi Matematica
Onete F.-I., Papageorgiou N.S., Vetro C. (2020). A multiplicity theorem for parametric superlinear (p, q)-equations. OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA, 40(1), 131-149 [10.7494/OpMath.2020.40.1.131].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/416408
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