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| Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory* |
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Citation： |
Bin GE,Beilei ZHANG,Wenshuo YUAN.Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory*[J].Chinese Annals of Mathematics B,2023,44(1):49~66 |
| Page view： 847
Net amount： 736 |
Authors： |
Bin GE; Beilei ZHANG;Wenshuo YUAN |
Foundation： |
National Natural Science Foundation of China (No. 11201095), the Fundamental Research Funds for the Central Universities (No. 3072022TS2402), the Postdoctoral research startup foundation of Heilongjiang (No. LBH-Q14044) and the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province (No. LC201502). |
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| Abstract： |
The aim of this paper is the study of a double phase problems involving superlinear nonlinearities with a growth that need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools together with suitable truncation and minimax techniques with Morse theory, the authors prove the existence of one and three nontrivial weak solutions, respectively. |
Keywords： |
Double phase problems, Musielak-Orlicz space, Variational method,Critical groups, Nonlinear regularity, Multiple solution |
Classification： |
35J92, 35J60, 35D05 |
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