We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood of zero). Using suitable cut-off techniques together with variational tools and comparison principles, we show that for all big values of the parameter, the problem has at least three nontrivial smooth solutions, all with sign information (positive, negative and nodal).

Papageorgiou N.S., Vetro C., & Vetro F. (2020). Constant sign and nodal solutions for nonlinear robin equations with locally defined source term. MATHEMATICAL MODELLING AND ANALYSIS, 25(3), 374-390 [10.3846/mma.2020.11031].

Constant sign and nodal solutions for nonlinear robin equations with locally defined source term

Vetro C.;
2020

Abstract

We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood of zero). Using suitable cut-off techniques together with variational tools and comparison principles, we show that for all big values of the parameter, the problem has at least three nontrivial smooth solutions, all with sign information (positive, negative and nodal).
Settore MAT/05 - Analisi Matematica
Papageorgiou N.S., Vetro C., & Vetro F. (2020). Constant sign and nodal solutions for nonlinear robin equations with locally defined source term. MATHEMATICAL MODELLING AND ANALYSIS, 25(3), 374-390 [10.3846/mma.2020.11031].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/431815
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