Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.

Juha Heinonen; Pekka Koskela

Displaying similar documents to “Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.”

On a Class of Weighted Sobolev's Spaces

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

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A note on a two-weighted Sobolev inequality

Petr Gurka, Alois Kufner (1989)

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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].

The weighted Poincaré inequalities.

Ritva Hurri (1990)

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On Approximation in Weighted Sobolev Spaces and Self-Adjointness.

Anders, Maz'ya, V. Carlsson (1994)

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The best constant in weighted Poincaré and Friedrichs inequalities

Salvatore Leonardi (1994)

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On imbedding theorems for weighted anisotropic Sobolev spaces

Wojciech M. Zajączkowski (2002)

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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.