摘要
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.
基金
supported by the 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)
the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province (No. LC201502)
