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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P. Bolley, J. Camus, The Lai Pham (1978)
Publications mathématiques et informatique de Rennes
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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.
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].
Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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Jiří Rákosník (1989)
Banach Center Publications
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Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Kilpeläinen, Tero (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Geraldo Soares De Souza (1990)
Colloquium Mathematicae
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B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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Chiadò Piat, Valeria, Serra Cassano, Francesco (1994)
Journal of Convex Analysis
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G. Greaves (1985)
Banach Center Publications
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Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Bohumír Opic (1989)
Časopis pro pěstování matematiky
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