Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory

被引：0
作者：
Ge, Bin [1 ]
Zhang, Beilei [1 ]
Yuan, Wenshuo [1 ]
机构：
[1] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2023年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Double phase problems; Musielak-Orlicz space; Variational method; Critical groups; Nonlinear regularity; Multiple solution; ORLICZ SPACES; EXISTENCE; REGULARITY; FUNCTIONALS;
D O I：
10.1007/s11401-023-0004-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：49 / 66
页数：18
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