SIGN-CHANGING MULTI-BUMP SOLUTIONS FOR CHOQUARD EQUATION WITH DEEPENING POTENTIAL WELL

被引：2
|
作者：
Yang, Xiaolong [1 ,2 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 60卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Choquard equation; sign-changing solutions; multiple solutions; NONLINEAR SCHRODINGER-EQUATIONS; NODAL SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;
D O I：
10.12775/TMNA.2021.041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the existence of signchanging multi-bump solutions for the following nonlinear Choquard equation (0.1) -Delta u + (lambda V (x) + 1)u = (I-alpha * |u|(p))|u|(p) (2)u in R-N, where I-alpha is the Riesz potential, lambda is an element of R+, (N - 4)(+) < alpha < N, 2 <= p < (N + alpha)=(N-2), and V (x) is a nonnegative continuous function with a potential well Omega := int(V-1 (0)) which possesses k disjoint bounded components Omega(1),...,Omega(k). We prove the existence of sign-changing multi-bump solutions for (0.1) if lambda is large enough.
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页码：111 / 133
页数：23
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