A variational approach in weighted Sobolev spaces to the operator - ... + .../... X1 in exterior domains of IR3.
Reinhard Farwig (1992)
Mathematische Zeitschrift
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Reinhard Farwig (1992)
Mathematische Zeitschrift
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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.
Chiadò Piat, Valeria, Serra Cassano, Francesco (1994)
Journal of Convex Analysis
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P. Bolley, J. Camus, The Lai Pham (1978)
Publications mathématiques et informatique de Rennes
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Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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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].
Amiran Gogatishvili, Canay Aykol, Vagif S. Guliyev (2015)
Studia Mathematica
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We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.
Brown, R.C. (1998)
Journal of Inequalities and Applications [electronic only]
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Jiří Rákosník (1989)
Banach Center Publications
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Abdelali Sabri, Ahmed Jamea, Hamad Talibi Alaoui (2022)
Mathematica Bohemica
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In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.
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.
Mahavier, W.T. (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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