MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR A CLASS OF FRACTIONAL ELLIPTIC EQUATIONS

被引：1

作者：

Kenzizi, Tarek ^{[1
]}

机构：

[1] El Manar Univ, Fac Sci Tunis, Math Dept, Tunis, Tunisia

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2021年 / 33卷 / 03期

关键词：

fractional Laplacian operator; multiple solutions; Nehari manifold; POSITIVE SOLUTIONS; LAPLACIAN; SYSTEMS; EXISTENCE;

D O I：

10.1216/jie.2021.33.315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the following fractional Laplacian equation (-Delta)(s) u = a (x) vertical bar u (x)vertical bar(q-2) u(x) + lambda b(x) vertical bar u (x) vertical bar(p-2) u(x) in (-1, 1), u > 0 in (-1, 1), u = 0 in R \ (-1, 1), where s is an element of (0, 1), lambda > 0. Using variational methods, we show existence and multiplicity of positive solutions.

引用

页码：315 / 325

页数：11

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