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.

引用

页数：20

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