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

Advances in Nonlinear Analysis

article

Nikolaos S. Papageorgiou¹  Youpei Zhang² 

[1] Department of Mathematics, National Technical University, Zografou Campus;School of Mathematics and Statistics, Central South University;Department of Mathematics, University of Craiova

关键词: nonlinear regularity;    nonlinear maximum principle;    resonance;    bifurcation-type theorem;    continuity of solution multifunction;   

DOI  :  10.1515/anona-2020-0175

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY