版权说明 操作指南
首页 > 成果 > 详情

Sign-changing solutions for critical Choquard equation on bounded domain

认领
导出
Link by DOI
反馈
分享
QQ微信 微博
成果类型:
期刊论文
作者:
Chenchen Liu;Xiaolong Yang*
通讯作者:
Xiaolong Yang
作者机构:
[Chenchen Liu] School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China
[Xiaolong Yang] School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
通讯机构:
[Xiaolong Yang] S
School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
语种:
英文
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2025
卷:
541
期:
2
页码:
128726
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
We consider the existence of sign-changing solutions for the following nonlinear Choquard equation {−Δu=(Iα⁎|u|p)|u|p−2u+λu,x∈Ω,u∈H01(Ω), where N≥3,α∈(0,N),λ∈R, p∈(1,N+αN−2] and Ω⊂RN is a smooth bounded domain. Iα:RN→R is the Riesz potential. In critical case p=N+αN−2, if Ω is symmetric about the axis x1, we firstly develop the limit profiles for the symmetric Palais-Smale sequence by the concentration compactness principle. Then we conclude that the problem admits an odd solution with exactly two nodal domains for λ∈...

反馈

验证码:
看不清楚,换一个
确定
取消

成果认领

标题:
用户 作者 通讯作者
请选择
请选择
确定
取消

提示

该栏目需要登录且有访问权限才可以访问

如果您有访问权限,请直接 登录访问

如果您没有访问权限,请联系管理员申请开通

管理员联系邮箱:yun@hnwdkj.com