Poincaré inequalities in reflexive cones

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• 作者：Petru Jebelean ; Radu Precup
• 关键词：Reflexive cone ; Compact embedding ; Trace operator ; Boundary value problem ; A priori bounds
• 刊名：Applied Mathematics Letters
• 出版年：2011
• 出版时间：March 2011
• 年：2011
• 卷：24
• 期：3
• 页码：359-363
• 全文大小：223 K

文摘

We present an abstract result concerning Poincaré inequalities in cones. Some examples in Sobolev spaces are provided. We also discuss an application to a priori bounds of solutions for a general boundary value problem involving the vector p-Laplacian operator.