Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory  

作　　者：Bin GE Beilei ZHANG Wenshuo YUAN 

机构地区：[1]College of Mathematical Sciences,Harbin Engineering University,Harbin 150001,China

出　　处：《Chinese Annals of Mathematics,Series B》2023年第1期49-66,共18页数学年刊（B辑英文版）

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)

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.

关 键 词：Double phase problems Musielak-Orlicz space Variational method Critical groups Nonlinear regularity Multiple solution 

分 类 号：O177[理学—数学]