We consider a parametric nonlinear Robin problem driven by a nonhomogeneous differential operator. The reaction is a Carathéodory function which is only locally defined (that is, the hypotheses concern only its behaviour near zero). The conditions on the reaction are minimal. Using variational tools together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter λ > 0, the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal.

Papageorgiou N.S., Vetro C., & Vetro F. (2021). Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction. APPLICABLE ANALYSIS, 100(1), 191-205 [10.1080/00036811.2019.1597059].

Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction

Vetro C.;
2021

Abstract

We consider a parametric nonlinear Robin problem driven by a nonhomogeneous differential operator. The reaction is a Carathéodory function which is only locally defined (that is, the hypotheses concern only its behaviour near zero). The conditions on the reaction are minimal. Using variational tools together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter λ > 0, the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal.
Settore MAT/05 - Analisi Matematica
https://doi.org/10.1080/00036811.2019.1597059
Papageorgiou N.S., Vetro C., & Vetro F. (2021). Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction. APPLICABLE ANALYSIS, 100(1), 191-205 [10.1080/00036811.2019.1597059].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/453785
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