Hardy inequalities for general elliptic operators with improvements

Details Hardy inequalities for general elliptic operators with improvements Hardy inequalities for general elliptic operators with improvements

2008-05-05

arxiv.org/abs/0805.0610v1

Mathematics

Analysis of PDEs

Scientific paper

We obtain optimal generalized versions of Hardy inequalities, which as
special cases contain Hardy's inequality and Hardy's inequality involving the
distance function to the boundary of $ \Omega$. In addition we obtain neccesary
and sufficient conditions to add improvements in the form of non negative
potentials.

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