INFINITELY MANY SOLUTIONS FOR A CLASS OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS

被引：0
|
作者：
Duan, Yuanyuan [1 ]
He, Rui [2 ]
Liu, Xiangqing [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China
[2] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年
关键词：
The fractional Laplacian equation; the truncation technique; infinitely many solutions; EXTENSION PROBLEM; MORSE INDEX; INEQUALITY; STATES;
D O I：
10.3934/dcdss.2024134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the problem (-Delta)(s) -Delta) s u+a (x) u = |u | (q-2) u in R-N , where 0 < s < 1, 2 < q < 2(s)(& lowast;) = 2N/N-2s , (-Delta)(s) is the fractional Laplacian operator, and the potential function a is positive, finite and verifies suitable decay assumptions. We obtain the existence of infinitely many solutions by the variational method and the truncation technique.
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页数：20
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