Existence for an elliptic system with nonlinear boundary conditions

被引：1
|
作者：
Anane, Aomar [1 ]
Chakrone, Omar [1 ]
Karim, Belhadj [1 ]
Zerouali, Abdellah [1 ]
机构：
[1] Univ Mohamed I, Fac Sci, Dept Mathemat & Informat, Oujda, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2010年 / 28卷 / 02期
关键词：
Steklov problems; weights; elliptic systems; nonlinear boundary conditions;
D O I：
10.5269/bspm.v28i2.11313
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the existence of a weak solution to the following system {Delta(p)u = Delta(q)v = 0 in Omega, vertical bar del u vertical bar(p-2)partial derivative u/partial derivative v = f(x, u) - (alpha+1) K(x)vertical bar u vertical bar(alpha-1) u vertical bar v vertical bar(beta+1) vertical bar f(1) on partial derivative Omega, vertical bar del v vertical bar(q-2)partial derivative u/partial derivative v = g(x, u) - (beta+1) K(x)vertical bar v vertical bar(beta-1) v vertical bar u vertical bar(alpha+1) vertical bar f(1) on partial derivative Omega, where Omega is a bounded domain R-N (N >= 2), f(1), g(1), f, g and K are functions that satisfy some conditions.
引用
收藏
页码：49 / 56
页数：8
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