We consider a parametric nonlinear Robin problem driven by the negative p-Laplacian plus an indefinite potential. The equation can be thought as a perturbation of the usual eigenvalue problem. We consider the case where the perturbation f(z, ·) is (p- 1) -sublinear and then the case where it is (p- 1) -superlinear but without satisfying the Ambrosetti–Rabinowitz condition. We establish existence and uniqueness or multiplicity of positive solutions for certain admissible range for the parameter λ∈ R which we specify exactly in terms of principal eigenvalue of the differential operator.
Vetro C. (2020). Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential. ANALYSIS AND MATHEMATICAL PHYSICS, 10(4), 1-34.
Data di pubblicazione: | 2020 |
Titolo: | Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential |
Autori: | VETRO, Calogero (Corresponding) |
Citazione: | Vetro C. (2020). Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential. ANALYSIS AND MATHEMATICAL PHYSICS, 10(4), 1-34. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s13324-020-00416-w |
Abstract: | We consider a parametric nonlinear Robin problem driven by the negative p-Laplacian plus an indefinite potential. The equation can be thought as a perturbation of the usual eigenvalue problem. We consider the case where the perturbation f(z, ·) is (p- 1) -sublinear and then the case where it is (p- 1) -superlinear but without satisfying the Ambrosetti–Rabinowitz condition. We establish existence and uniqueness or multiplicity of positive solutions for certain admissible range for the parameter λ∈ R which we specify exactly in terms of principal eigenvalue of the differential operator. |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
2020_AMP_Vetro.pdf | Articolo principale | Versione Editoriale | Open Access Visualizza/Apri |