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Existence Results for the Robin p-Laplacian with Concave-Convex Problems and Indefinite Potential

descriptionPublicationkeyboard_double_arrow_right Article Under curationPublisher:Zenodo
Authors: Alexandros G. Karampelas and Dimitris M. Konstantopoulos;

doi: 10.5281/zenodo.19355275

Existence Results for the Robin p-Laplacian with Concave-Convex Problems and Indefinite Potential

Abstract

We consider nonlinear Robin problems driven by the p-Laplacian plus and indefinite potential. In the reaction, we have the competing effects of a parametric concave (that is, (p 1)-sublinear) term and of a convex (that is, (p λ > 0. In addition, we show the existence of a smallest positive solution uλ and determine the monotonicity and continuity properties of the map .

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