On a Dirichlet problem with (p, q)-Laplacian and parametric concave-convex nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Marano, Salvatore A.¹  Marino, Greta¹  Papageorgiou, Nikolaos S.² 

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

关键词: (p, q)-Laplacian;    Concave-convex nonlinearity;    Positive solution;    Bifurcation-type theorem;   

DOI  :  10.1016/j.jmaa.2019.03.006

来源: Elsevier

【 摘 要 】

A homogeneous Dirichlet problem with (p, q)-Laplace differential operator and reaction given by a parametric p-convex term plus a q-concave one is investigated. A bifurcation-type result, describing changes in the set of positive solutions as the parameter lambda > 0 varies, is proven. Since for every admissible lambda the problem has a smallest positive solution (u) over bar (lambda), both monotonicity and continuity of the map lambda -> (u) over bar (lambda) are studied. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free