Hardy inequalities for general elliptic operators with improvements

Craig Cowan

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arXiv · 0805.0610

Hardy inequalities for general elliptic operators with improvements

Craig Cowan

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Abstract

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 $ Ω$. In addition we obtain neccesary and sufficient conditions to add improvements in the form of non negative potentials.

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Craig Cowan. 2008-05-05. Hardy inequalities for general elliptic operators with improvements. https://arxiv.org/abs/0805.0610

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