Numerical Solution of Integral Equations, Fast Algorithms and Krein-Sobolev Equation.
I. Gohberg, I. Koltracht (1985)
Numerische Mathematik
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Displaying similar documents to “Numerical Computation of Least Constants for the Sobolev Inequality.”
Numerical Solution of Integral Equations, Fast Algorithms and Krein-Sobolev Equation.
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Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen (2005)
Banach Center Publications
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In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
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Andrea Cianchi, Nicola Fusco, F. Maggi, A. Pratelli (2009)
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Strokes of the biography of A. D. Alexandrov.
Kutateladze, S.S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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V. M. Tikhomirov (1989)
Banach Center Publications
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On the Sobolev spaces I.
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)
Studia Mathematica
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Weighted Sobolev spaces and capacity.
Kilpeläinen, Tero (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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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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Differentiability from the representation formula and the Sobolev-Poincaré inequality
Valentino Magnani (2005)
Studia Mathematica
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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.
Tangential limits of monotone Sobolev functions.
Mizuta, Yoshihiro (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Dimension-invariant Sobolev imbeddings
Miroslav Krbec, Hans-Jürgen Schmeisser (2011)
Banach Center Publications
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We survey recent dimension-invariant imbedding theorems for Sobolev spaces.
On the intersection of Sobolev spaces
A. Benedek, R. Panzone (1990)
Colloquium Mathematicae
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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.
A convergence result for discrete steepest descent in weighted Sobolev spaces.
Mahavier, W.T. (1997)
Abstract and Applied Analysis
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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.
On embeddings and traces in Sobolev spaces with weights of power type
Jiří Rákosník (1989)
Banach Center Publications
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