期刊论文

Lin, Q

英文

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

1078-0947

2023

16

11

2980-3013

10.3934/dcdss.2023102

The work of Li Cai is partially supported by the Postgraduate Research and Practice Innovation Program of Jiangsu Province (No. KYCX21_0076). The work of Fubao Zhang is partially supported by the National Natural Science Foundation of China (No. 11671077) and National Scientific Research Program Cultivation Fund of Chengxian College of Southeast University (No. 2022NCF008). Li Cai and Qiang Lin would like to thank the China Scholarship Council for its support (No. 202206090124, No. 202106680012) and the Embassy of the People's Republic of China in Romania

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In this paper, we consider the coupled Kirchhoff system in subcrit-ical case and critical case. For subcritical case, we first study the least energy of coupled Kirchhoff system and the limit system by using the Nehari manifold method and exclude the existence of semi-trivial solutions. Then we improve the global compactness lemma of coupled Kirchhoff system to overcome the loss of compactness. Combining with the linking theorem and topological de-gree, we construct a Palais-Smale sequence in the high energy level and prove the existence of high energy positive solutions. Moreover, the results...