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EnglishWe 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.
| Data di pubblicazione: | 2021 |
| Titolo: | Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction |
| Autori: | |
| Citazione: | 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. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/00036811.2019.1597059 |
| 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. |
| URL: | https://doi.org/10.1080/00036811.2019.1597059 |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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| 2021_ApplAnal_PVV_Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction.pdf | Articolo principale | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/453785
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