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.”
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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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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.
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We survey recent dimension-invariant imbedding theorems for Sobolev spaces.
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A convergence result for discrete steepest descent in weighted Sobolev spaces.
Mahavier, W.T. (1997)
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Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces
Alicja Gąsiorowska (2011)
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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.
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Jiří Rákosník (1989)
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On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation.
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Numerische Mathematik
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