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arxiv: 0805.0610 · v1 · submitted 2008-05-05 · 🧮 math.AP

Hardy inequalities for general elliptic operators with improvements

classification 🧮 math.AP
keywords hardyimprovementsinequalitiesinequalityobtainadditionboundarycases
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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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