Some remarks about the density of smooth functions in weighted Sobolev spaces.
Chiadò Piat, Valeria, Serra Cassano, Francesco (1994)
Journal of Convex Analysis
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Displaying similar documents to “A variational approach in weighted Sobolev spaces to the operator - ... + .../... X1 in exterior domains of IR3.”
Some remarks about the density of smooth functions in weighted Sobolev spaces.
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.
New regularity results for a generic model equation in exterior 3D domains
Stanislav Kračmar, Patrick Penel (2005)
Banach Center Publications
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We consider a generic scalar model for the Oseen equations in an exterior three-dimensional domain. We assume the case of a non-constant coefficient function. Using a variational approach we prove new regularity properties of a weak solution whose existence and uniqueness in anisotropically weighted Sobolev spaces were proved in [10]. Because we use some facts and technical tools proved in the above mentioned paper, we give also a brief review of its results and methods.
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 best constant in weighted Poincaré and Friedrichs inequalities
Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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A note on a two-weighted Sobolev inequality
Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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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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On embeddings and traces in Sobolev spaces with weights of power type
Jiří Rákosník (1989)
Banach Center Publications
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Power Series Spaces and Weighted Solution Spaces of Partial Differential Equations.
Michael Langenbruch (1987)
Mathematische Zeitschrift
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Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces
Agnieszka Kałamajska (1994)
Studia Mathematica
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Weighted Sobolev spaces and capacity.
Kilpeläinen, Tero (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains.
Brown, R.C. (1998)
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A Wiener type criterion for weighted quasiminima
Silvana Marchi (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove a sufficient condition of continuity at the boundary for quasiminima of degenerate type. W. P. Ziemer stated a Wiener-type criterion for the quasiminima defined by Giaquinta and Giusti. In this paper we extend the result of Ziemer to the case of weighted quasiminima, the weight being in the class of Muckenhoupt.