Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory

被引：0
|
作者：
Bin GE
Beilei ZHANG
Wenshuo YUAN
机构：
[1] CollegeofMathematicalSciences,HarbinEngineeringUniversity
来源：
Chinese Annals of Mathematics,Series B | 2023年 / 01期
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
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.
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页码：49 / 66
页数：18
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