On embeddings and traces in Sobolev spaces with weights of power type

Jiří Rákosník

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Displaying similar documents to “On embeddings and traces in Sobolev spaces with weights of power type”

On imbedding theorems for weighted anisotropic Sobolev spaces

Wojciech M. Zajączkowski (2002)

Applicationes Mathematicae

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Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.

On a Class of Weighted Sobolev's Spaces

P. Bolley, J. Camus, The Lai Pham (1978)

Publications mathématiques et informatique de Rennes

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Weighted Sobolev spaces and capacity.

Kilpeläinen, Tero (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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General Gagliardo Inequality and Applications to Weighted Sobolev Spaces

Antonio Avantaggiati, Paola Loreti (2009)

Bollettino dell'Unione Matematica Italiana

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In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].

A note on a two-weighted Sobolev inequality

Petr Gurka, Alois Kufner (1989)

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Weighted Sobolev descent for singular first order partial differential equations.

Mahavier, W.T. (1999)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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The best constant in weighted Poincaré and Friedrichs inequalities

Salvatore Leonardi (1994)

Rendiconti del Seminario Matematico della Università di Padova

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A convergence result for discrete steepest descent in weighted Sobolev spaces.

Mahavier, W.T. (1997)

Abstract and Applied Analysis

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Variable Sobolev capacity and the assumptions on the exponent

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.