The compact support principle for differential inequalities with gradient terms

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• 作者：Marco Rigoli ; Maura Salvatori ; Marco Vignati
• 关键词：Compact support principle ; Non-compact manifolds
• 刊名：Nonlinear Analysis
• 出版年：2010
• 出版时间：1 June 2010
• 年：2010
• 卷：72
• 期：11
• 页码：4360-4376
• 全文大小：471 K

文摘

We give some sufficient conditions to guarantee the validity of the Compact Support Principle for solutions of some singular elliptic differential inequalities on complete, non-compact manifolds. Our results apply in particular to the p-Laplace and the Mean Curvature operators. We also show that our results are sharp in many important cases.