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.
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页数：8
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