The best constant in weighted Poincaré and Friedrichs inequalities
Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces”
The best constant in weighted Poincaré and Friedrichs inequalities
-condition for two weight functions and compact imbeddings of weighted Sobolev spaces
Bohumír Opic, Petr Gurka (1988)
Czechoslovak Mathematical Journal
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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].
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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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.
A note on a two-weighted Sobolev inequality
Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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