Three solutions for a semilinear elliptic boundary value problem

被引：1

作者：

Kratou, Mouna ^{[1
]}

机构：

[1] Imam Abdulrahman Bin Faisal Univ, Coll Sci Dammam, Dammam 31441, Saudi Arabia

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2019年 / 129卷 / 02期

关键词：

Laplacian operator; elliptic problem; Nehari manifold; three critical points; weak solution; EXISTENCE;

D O I：

10.1007/s12044-019-0465-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to study the following elliptic problem: (P-lambda) { u = f (x)| u(x)| p-2u(x) +.g(x)| u| q-2u in ; u = 0 in. , where . RN (N = 3) be a bounded smooth domain, f, g. L 8 (),. is a positive parameter. Under adequate assumptions on the sources terms f and g, we establish the existence of three solutions: one is positive, one is negative and the other changes sign.

引用

页数：8

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