BOUNDARY EIGENCURVE PROBLEMS INVOLVING THE P-LAPLACIAN OPERATOR

被引：0
|
作者：
El Khalil, Abdelouahed [1 ]
Ouanan, Mohammed [2 ]
机构：
[1] Al Imam Muhammad Ibn Saud Islamic Univ, Dept Math, Coll Sci, Riyadh 11623, Saudi Arabia
[2] Univ Moulay Ismail, Fac Sci & Technol, Dept Informat, Boutalamine 52000, Errachidia, Morocco
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年
关键词：
p-Laplacian operator; nonlinear boundary conditions; principal eigencurve; Sobolev trace embedding;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that for each lambda is an element of R, there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem Delta(p)u = vertical bar u vertical bar(p-2)u in Omega vertical bar del u vertical bar(p-2)partial derivative u/partial derivative v = lambda rho(x)vertical bar u vertical bar(p- 2)u vertical bar mu vertical bar u vertical bar(p- 2)u on partial derivative Omega; also we show that the first eigenvalue is simple and isolated. Some results about their variation, density, and continuous dependence on the parameter lambda are obtained.
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页数：13
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