Functional Inequalities And Hamilton-Jacobi Equations In Geodesic Spaces

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Journal Article
Potential Analysis, 2012, 36 (2), pp. 317 - 337
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We study the connection between the p-Talagrand inequality and the q-logarithmic Sololev inequality for conjugate exponents p >= 2, q <= 2 in proper geodesic metric spaces. By means of a general Hamilton-Jacobi semigroup we prove that these are equivalen
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