On the set of positive solutions for resonant Robin (p, q)-equations-Reference-Cited by-同舟云学术

On the set of positive solutions for resonant Robin (p, q)-equations

Published:2021-01-01 Issue:1 Volume:10 Page:1132-1153
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Papageorgiou Nikolaos S.¹,Zhang Youpei²³

Affiliation:

1. Department of Mathematics , National Technical University , Zografou Campus , Athens , , Greece

2. School of Mathematics and Statistics , Central South University , Changsha , Hunan , China

3. Department of Mathematics , University of Craiova , Street A.I. Cuza 13 , Craiova , Romania

Abstract

Abstract We consider a nonlinear Robin problem driven by the (p, q)-Laplacian and a parametric reaction exhibiting the competition of a concave term and of a resonant perturbation. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter λ moves on ℝ̊+ = (0, +∞). Also, we determine the continuity properties of the solution multifunction.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0175/pdf

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