Hardy inequalities for Robin Laplacians

Details Hardy inequalities for Robin Laplacians Hardy inequalities for Robin Laplacians

2011-09-29

arxiv.org/abs/1109.6603v2

Mathematics

Spectral Theory

Scientific paper

10.1016/j.jfa.2012.03.021

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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