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EnglishWe consider a nonlinear elliptic Dirichlet problem driven by the (p,q)-Laplacian and a reaction consisting of a parametric singular term plus a Caratheodory perturbation f(z,x) which is (p-1)-linear as x goes to + infinity. First we prove a bifurcation-type theorem describing in an exact way the changes in the set of positive solutions as the parameter lambda>0 moves. Subsequently, we focus on the solution multifunction and prove its continuity properties. Finally we prove the existence of a smallest (minimal) solution u*_lambda and investigate the monotonicity and continuity properties of the map lambda --> u*_lambda.
Papageorgiou N.S., Vetro C., & Zhang Y. (2020). Positive solutions for parametric singular Dirichlet (p,q)-equations. NONLINEAR ANALYSIS, 198, 1-23.
| Data di pubblicazione: | 2020 |
| Titolo: | Positive solutions for parametric singular Dirichlet (p,q)-equations |
| Autori: | |
| Citazione: | Papageorgiou N.S., Vetro C., & Zhang Y. (2020). Positive solutions for parametric singular Dirichlet (p,q)-equations. NONLINEAR ANALYSIS, 198, 1-23. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.na.2020.111882 |
| Abstract: | We consider a nonlinear elliptic Dirichlet problem driven by the (p,q)-Laplacian and a reaction consisting of a parametric singular term plus a Caratheodory perturbation f(z,x) which is (p-1)-linear as x goes to + infinity. First we prove a bifurcation-type theorem describing in an exact way the changes in the set of positive solutions as the parameter lambda>0 moves. Subsequently, we focus on the solution multifunction and prove its continuity properties. Finally we prove the existence of a smallest (minimal) solution u*_lambda and investigate the monotonicity and continuity properties of the map lambda --> u*_lambda. |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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|---|---|---|---|---|
| 2020_NA_PapageorgiouVetroZhang.pdf | Articolo principale | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/425872
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