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تسجيل مستخدم جديدReverse Hardy-Littlewood-Sobolev inequalities
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تأليف
Jean Dolbeault
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This paper is devoted to a new family of reverse Hardy-Littlewood-Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admissible parameters and characterize the optimal functions. A striking open question is the possibility of concentration which is analyzed and related with nonlinear diffusion equations involving mean field drifts.
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