Strokes of the biography of A. D. Alexandrov.
Kutateladze, S.S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Displaying similar documents to “Variable Sobolev capacity and the assumptions on the exponent”
Strokes of the biography of A. D. Alexandrov.
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Fifty years of Siberian Mathematical Journal.
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Crăciunaş, Petru Teodor (1996)
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Addendum to the paper "On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem"
A. Pełczyński, K. Senator (1986)
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In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev-Poincaré inequality and the so-called representation formula.
Sobolev-type spaces from generalized Poincaré inequalities
Toni Heikkinen, Pekka Koskela, Heli Tuominen (2007)
Studia Mathematica
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We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
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Miroslav Krbec, Hans-Jürgen Schmeisser (2011)
Banach Center Publications
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We survey recent dimension-invariant imbedding theorems for Sobolev spaces.
Fifty years of the Siberian Division of the Russian Academy of Sciences.
Ershov, Yu.L., Kutateladze, S.S., Tajmanov, I.A. (2007)
Sibirskij Matematicheskij Zhurnal
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A look on some results about Camassa–Holm type equations
Igor Leite Freire (2021)
Communications in Mathematics
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We present an overview of some contributions of the author regarding Camassa--Holm type equations. We show that an equation unifying both Camassa--Holm and Novikov equations can be derived using the invariance under certain suitable scaling, conservation of the Sobolev norm and existence of peakon solutions. Qualitative analysis of the two-peakon dynamics is given.
Tangential limits of monotone Sobolev functions.
Mizuta, Yoshihiro (1995)
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On the intersection of Sobolev spaces
A. Benedek, R. Panzone (1990)
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Numerical Computation of Least Constants for the Sobolev Inequality.
J.T. Marti, M. Hegland (1986)
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Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces
Alicja Gąsiorowska (2011)
Banach Center Publications
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We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.
An estimate in the spirit of Poincaré's inequality
Augusto C. Ponce (2004)
Journal of the European Mathematical Society
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From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality
Ivan Gentil (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux in [BL00]. Using the Prékopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on , with a strictly convex and super-linear potential. This inequality implies modified logarithmic Sobolev inequality, developed in [GGM05, GGM07], for all uniformly strictly convex potential as well as the Euclidean logarithmic Sobolev inequality.