SINGULAR DOUBLE PHASE EQUATIONS*

doi:10.1007/s10473-023-0304-3

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 1031-1044.doi: 10.1007/s10473-023-0304-3

SINGULAR DOUBLE PHASE EQUATIONS^*

Zhenhai Liu^1,†, Nikolaos S. Papageorgiou²

1. 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;
2. Department of Mathematics, National Technical University, Zografou Campus, 15780 Athens, Greece

收稿日期:2021-10-08 出版日期:2023-06-25 发布日期:2023-06-06
通讯作者: ^† Zhenhai Liu, E-mail: zhhliu@hotmail.com
作者简介:Nikolaos S. Papageorgiou, E-mail: npapg@math.ntua.gr
基金资助:
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.

SINGULAR DOUBLE PHASE EQUATIONS^*

Zhenhai Liu^1,†, Nikolaos S. Papageorgiou²

1. 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;
2. Department of Mathematics, National Technical University, Zografou Campus, 15780 Athens, Greece

Received:2021-10-08 Online:2023-06-25 Published:2023-06-06
Contact: ^† Zhenhai Liu, E-mail: zhhliu@hotmail.com
About author:Nikolaos S. Papageorgiou, E-mail: npapg@math.ntua.gr
Supported by:
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/Abstract

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

Abstract: 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.

Key words: double phase, singular term, unbalanced growth, Musielak-Orlice spaces, Nehari manifold, positive solutions

Zhenhai Liu, Nikolaos S. Papageorgiou. SINGULAR DOUBLE PHASE EQUATIONS^*[J]. 数学物理学报(英文版), 2023, 43(3): 1031-1044.

Zhenhai Liu, Nikolaos S. Papageorgiou. SINGULAR DOUBLE PHASE EQUATIONS^*[J]. Acta mathematica scientia,Series B, 2023, 43(3): 1031-1044.

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SINGULAR DOUBLE PHASE EQUATIONS^*

SINGULAR DOUBLE PHASE EQUATIONS^*

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