Anisotropic equations in weighted Sobolev spaces of higher order

被引：5
|
作者：
Chrif M. [1 ]
El Manouni S. [2 ]
机构：
[1] Department of Mathematics and Informatics, Faculty of Sciences, Université Sidi Mohamed Ben Abde Lah, Atlas-Fès, Fès 30000
[2] Department of Mathematics, Faculty of Sciences, Al-Imam University, Riyadh 11623
来源：
Ricerche di Matematica | 2009年 / 58卷 / 1期
关键词：
Anisotropic weighted Sobolev spaces; Existence results; Finite and infinite orders; Higher order; Monotonicity condition; Sign condition;
D O I：
10.1007/s11587-009-0045-1
中图分类号：
学科分类号：
摘要：
We consider the strongly nonlinear boundary value problem, Au+g(x,u)=f where A is an elliptic operator of finite or infinite order. We introduce anisotropic weighted Sobolev spaces and we show under a certain sign condition of the Carathéodory function g without assuming any growth restrictions, the existence of the weak solutions. © 2009 Università degli Studi di Napoli "Federico II".
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页码：1 / 14
页数：13
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