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".

引用

页码：1 / 14

页数：13

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