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

页码：49 / 56

页数：8

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