Displaying similar documents to “Analytic and Geometric Logarithmic Sobolev Inequalities”

A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces.

Petteri Harjulehto, Peter Hästö (2004)

Revista Matemática Complutense

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We study the Poincaré inequality in Sobolev spaces with variable exponent. Under a rather mild and sharp condition on the exponent p we show that the inequality holds. This condition is satisfied e.g. if the exponent p is continuous in the closure of a convex domain. We also give an essentially sharp condition for the exponent p as to when there exists an imbedding from the Sobolev space to the space of bounded functions.

An optimal endpoint trace embedding

Andrea Cianchi, Luboš Pick (2010)

Annales de l’institut Fourier

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We find an optimal Sobolev-type space on ℝ n all of whose functions admit a trace on subspaces of ℝ n of given dimension. A corresponding trace embedding theorem with sharp range is established.

Around Nash inequalities

Dominique Bakry, François Bolley, Ivan Gentil (2010)

Journées Équations aux dérivées partielles

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A topology on inequalities.

D'Aristotile, Anna Maria, Fiorenza, Alberto (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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