SINGULAR DOUBLE PHASE EQUATIONS  

作　　者：刘振海 Nikolaos S.PAPAGEORGIOU Zhenhai LIU;Nikolaos S.PAPAGEORGIOU(Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing,Yulin Normal University,Yulin,537000,China;Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis,Guangxi Minzu University,Nanning,530006,China;Department of Mathematics,National Technical University,Zografou Campus,15780,Athens,Greece)

机构地区：[1]Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing,Yulin Normal University,Yulin,537000,China [2]Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis,Guangxi Minzu University,Nanning,530006,China [3]Department of Mathematics,National Technical University,Zografou Campus,15780,Athens,Greece

出　　处：《Acta Mathematica Scientia》2023年第3期1031-1044,共14页数学物理学报（B辑英文版）

基　　金：supported by the NNSF of China (12071413, 12111530282);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No. 823731 CONMECH。

摘　　要：We study a double phase Dirichlet problem with a reaction that has a parametric singular term. Using the Nehari manifold method, we show that for all small values of the parameter, the problem has at least two positive, energy minimizing solutions.

关 键 词：double phase singular term unbalanced growth Musielak-Orlice spaces Nehari manifold positive solutions 

分 类 号：O175[理学—数学]