Existence of extremal functions for a Hardy-Sobolev inequality |
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| Authors: | N.B. Zographopoulos |
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| Affiliation: | Department of Science, Division of Mathematics, Technical University of Crete, 73100 Chania, Greece |
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| 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. |
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| Keywords: | Best constants Extremal functions Hardy-Sobolev inequality Sobolev inequality Bliss' inequality |
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