Infinitely Many Solutions for Schrodinger-Choquard Equation with Critical Exponential Growth in RN

被引：0
作者：
Song, Hongxue [1 ,2 ]
Chen, Caisheng [2 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China
[2] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2022年 / 28卷 / 04期
关键词：
N -Laplacian-Choquard equation; Critical exponential growth; Schwarz symmetrization; EXISTENCE; SOLITON;
D O I：
10.1007/s10883-021-09559-w
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we study the existence of infinitely many nonnegative solutions for Schrodinger-Choquard equation -Delta(N)u + V (x)vertical bar u vertical bar(N-2) u - Delta(N)(vertical bar u vertical bar(2 beta))vertical bar u vertical bar(2 beta-2) u = (I-alpha * vertical bar u vertical bar(q))vertical bar u vertical bar(q-2) u + h(u), x is an element of R-N, (0.1) where Delta(N) is the N-Laplacian operator, h(u) is odd and continuous function behaving likes exp(alpha(0)vertical bar u vertical bar N/N-1) when vertical bar u vertical bar -> infinity and N > 2 beta > 1. The potential V is an element of C(R-N) is positive and bounded in R-N. Using the Schwarz symmetrization with some special techniques and symmetric mountain pass lemma, we prove the existence of infinitely many solutions for (0.1) in W-1,W-N (R-N).
引用
收藏
页码：951 / 970
页数：20
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