Parametric Anisotropic(p,q)-Neumann Problems  

作　　者：Zhen-hai LIU Nikolaos S.PAPAGEORGIOU 

机构地区：[1]Center for Applied Mathematics of Guangxi,Yulin Normal University,Yulin 537000,China [2]Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation,Guangxi Minzu University,Nanning 530006,China [3]Department of Mathematics,National Technical University,Zografou Campus,15780 Athens,Greece

出　　处：《Acta Mathematicae Applicatae Sinica》2023年第4期926-942,共17页应用数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.12071413);Natural Science Foundation of Guangxi Grant No.2023GXNSFAA026085;the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement (No.823731) CONMECH。

摘　　要：We consider a Neumann problem driven by a(p(z), q(z))-Laplacian(anisotropic problem) plus a parametric potential term with λ > 0 being the parameter. The reaction is superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter λ moves on R_(+)=(0,+∞).

关 键 词：variable exponent spaces superlinear reaction bifurcation-type theorem anisotropic regularity strong comparison positive solutions 

分 类 号：O177[理学—数学]