应用数学2023,Vol.36Issue(2):400-408,9.
一类双相问题多重解的存在性
Multiple Solutions for a Class of Double Phase Problem
摘要
Abstract
In this paper,we deal with the existence of multiple nontrivial solutions for a class of double phase problem.Based on variational methods,we prove the existence of at least two nontrivial solutions for this problem.Moreover,if the nonlinearity is odd in u,we also obtain infinitely many pairs of solutions via symmetry mountain pass theorem.关键词
双相问题/山路定理/Ekeland变分原理/对称山路定理Key words
Double phase problem/Mountain pass theorem/Ekeland variational principle/Symmetry mountain pass theorem分类
数理科学引用本文复制引用
钱正雅,王智勇..一类双相问题多重解的存在性[J].应用数学,2023,36(2):400-408,9.基金项目
Supported by the National Natural Science Foundation of China(11571176,11701289)and Jiangsu Province Science Foundation for Youths(BK20170936) (11571176,11701289)