Hardy inequalities for Robin Laplacians |
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| Authors: | Hynek Kovařík Ari Laptev |
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| Institution: | 1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy;2. Imperial College London, Huxley Building, 180 Queen?s Gate, London SW7 2AZ, UK |
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| Abstract: | 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. |
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