Positive Solutions with High Energy for Fractional Schrodinger Equations

被引：1

作者：

Guo, Qing ^{[1
]}

Zhao, Leiga ^{[2
]}

机构：

[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China

[2] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2023年 / 43卷 / 03期

关键词：

fractional Schrodinger equations; positive solution; concentration compactness principle; GROUND-STATES; UNIQUENESS; COMPACTNESS; LAPLACIAN; EXISTENCE;

D O I：

10.1007/s10473-023-0308-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Schrodinger equations (-Delta)(s) (u) + V (x)u = a(x)|u|(p)-(2) (u) + b(x)|u|(q) (2) u, x is an element of R-N, where 0 < s < 1, 2 < q < p < 2*(s), 2*(s) is the fractional Sobolev critical exponent. Under suitable assumptions on V, a and b for which there may be no ground state solution, the existence of positive solutions

引用

页码：1116 / 1130

页数：15

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