Stability theorems for GNS inequalities: a reduction principle to the radial caseReport as inadecuate




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1 SNS - Scuola Normale Superiore di Pisa

Abstract : A symmetrization techique, introduced by Cianchi, Fusco, Maggi and Pratelli concerning the Sobolev inequality, is adapted to the Gagliardo-Nirenberg-Sobolev inequality GNS to obtain a reduction step of the problem of showing its quantitative version. More precisely we prove a stability result for the GNS inequality under the hypothesis that it holds, in turn, in the smaller class of radial symmetric decreasing functions.





Author: Berardo Ruffini -

Source: https://hal.archives-ouvertes.fr/



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