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一类双相问题多重解的存在性

钱正雅 王智勇

应用数学2023,Vol.36Issue(2):400-408,9.
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

钱正雅 1王智勇1

作者信息

  • 1. 南京信息工程大学数学与统计学院,江苏南京210044
  • 折叠

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)

应用数学

OA北大核心CSTPCD

1001-9847

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