Hardy inequalities for Robin Laplacians

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• 作者：Hynek Kovař ; í ; k^a ; ^{hynek.kovarik@polito.it} ; Ari Laptev^b ; ^{a.laptev@imperial.ac.uk}
• 关键词：Robin Laplacian ; Hardy inequality
• 刊名：Journal of Functional Analysis
• 出版年：2012
• 期刊代码：75_00221236
• 类别：mt
• 出版时间：15 June, 2012
• 卷：262
• 期：12
• 页码：4972-4985
• 文件大小：146 K

摘要

In this paper we establish a Hardy inequality for Laplace operators with Robin boundary conditions. For convex domains, in particular, we show explicitly how the corresponding Hardy weight depends on the coefficient of the Robin boundary conditions. We also study several extensions to non-convex and unbounded domains.