ANISOTROPIC (p,q)-EQUATIONS WITH COMPETITION PHENOMENA

• 作者: Zhenhai LIU Nikolaos S.PAPAGEORGIOU
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 299-322
• 页数: 24页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2022.01.017

摘要

We consider a nonlinear Robin problem driven by the anisotropic (p,q)-Laplacian and with a reaction exhibiting the competing effects of a parametric sublinear (concave) term and of a superlinear (convex) term.We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter varies.We also prove the existence of a minimal positive solution and determine the monotonicity and continuity properties of the minimal solution map.