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HARDY’S INEQUALITIES WITH MAXIMIZERS FOR
W1,p FUNCTIONS ON BOUNDED STAR DOMAINS∗

Research Authors
Ahmed A. ABDELHAKIM
Research Abstract

With the help of a radially invariant vector field, we derive inequalities of the
Hardy kind, with no boundary terms, for W1,p functions on bounded star domains. Our
results are not obtainable from the classical inequalities for W1,p
0
functions. Unlike in W1,p
0
,
our inequalities admit maximizers that we describe explicitly.

Research Department
Research Journal
Acta Mathematica Scientia
Research Publisher
NULL
Research Rank
1
Research Vol
39B(1)
Research Website
NULL
Research Year
2019
Research Pages
pp.1–11