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Existence of extremal functions for a Hardy-Sobolev inequality
Authors:NB Zographopoulos
Institution:Department of Science, Division of Mathematics, Technical University of Crete, 73100 Chania, Greece
Abstract:We present the best constant and the extremal functions for an Improved Hardy-Sobolev inequality. We prove that, under a proper transformation, this inequality is equivalent to the Sobolev inequality in RN.
Keywords:Best constants  Extremal functions  Hardy-Sobolev inequality  Sobolev inequality  Bliss' inequality
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