Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities |
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Authors: | David G Costa |
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Institution: | Department of Mathematical Sciences, University of Nevada, Las Vegas, Box 454020, Las Vegas, NV 89154-4020, USA |
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Abstract: | In this note we provide simple and short proofs for a class of inequalities of Caffarelli-Kohn-Nirenberg type with sharp constants. Our approach suggests some definitions of weighted Sobolev spaces and their embedding into weighted L2 spaces. These may be useful in studying solvability of problems involving new singular PDEs. |
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Keywords: | Caffarelli-Kohn-Nirenberg inequality Hardy inequality Sharp constants Singular PDEs |
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