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SINGULAR DOUBLE PHASE EQUATIONS

作     者:刘振海 Nikolaos S.PAPAGEORGIOU Zhenhai LIU;Nikolaos S.PAPAGEORGIOU

作者机构:Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data ProcessingYulin Normal UniversityYulin537000China Guangxi Key Laboratory of Hybrid Computation and IC Design AnalysisGuangxi Minzu UniversityNanning530006China Department of MathematicsNational Technical UniversityZografou Campus15780AthensGreece 

出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期:2023年第43卷第3期

页      面:1031-1044页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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。 

主  题:double phase singular term unbalanced growth Musielak-Orlice spaces Nehari manifold positive solutions 

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.

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