Hardy's inequality for functions vanishing on a part of the boundary

2014/05/23 by Egert, Moritz, Haller-Dintelmann, Robert, Rehberg, Joachim · 2 citations
#26D10 #26D15 #42B20 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1405.6167

Abstract

We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.

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• Equivalent Characterizations and Applications of Fractional Sobolev Spaces with Partially Vanishing Traces on (ε,δ,D)-Domains Supporting D-Adapted Fractional Hardy Inequalities

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