Maximum principles for anisotropic elliptic inequalities

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• 作者：Roberto Fortini ; Dimitri Mugnai ; Patrizia Pucci
• 关键词：Anisotropic elliptic inequalities in divergence form ; Maximum and comparison principles weak solutions
• 刊名：Nonlinear Analysis
• 出版年：2009
• 出版时间：15 April 2009
• 年：2009
• 卷：70
• 期：8
• 页码：2917-2929
• 全文大小：737 K

文摘

We establish some maximum and comparison principles for weak distributional solutions of anisotropic elliptic inequalities in divergence form, both in the homogeneous and non-homogeneous cases. The main prototypes we have in mind are inequalities involving the p()-Laplace operator and the generalized mean curvature operator.