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.
Lingua originale | English |
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pagine (da-a) | 1-34 |
Numero di pagine | 34 |
Rivista | Analysis and Mathematical Physics |
Volume | 10 |
Stato di pubblicazione | Published - 2020 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2603???
- ???subjectarea.asjc.2600.2602???
- ???subjectarea.asjc.2600.2610???