On some Marcus problem concerning functions possessing the derivative at points of discontinuity only
F. Filipczak (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Some remarks on the density of regular mappings in Sobolev classes of SM-valued functions.”
On some Marcus problem concerning functions possessing the derivative at points of discontinuity only
A priori inequalities in for solutions of elliptic equations in unbounded domains
Maurizio Chicco, Marina Venturino (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Imbedding theorems of Sobolev spaces into Lorentz spaces
Luc Tartar (1998)
Bollettino dell'Unione Matematica Italiana
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In questo articolo vengono date alcune varianti del teorema di immersione di Sobolev in spazi di Lorentz. In particolare si dimostra un teorema di immersione per spazi di Sobolev anisotropi supponendo che le derivate parziali appartengono a spazi di Lorentz diversi, anche nel caso limite, corrispondente all’estensione di Brezis-Wainger del teorema di Trudinger per .
Isomorphic classification and lifting theorems for spaces of differentiable functions with Lipschitz conditions
Frank Mantlik (1991)
Studia Mathematica
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The laplacian and the discrete laplacian
Z. Ditzian (1989)
Compositio Mathematica
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Functions with derivatives in spaces of Morrey type and elliptic equations in unbounded domains
Anna Canale, Patrizia Di Gironimo, Antonio Vitolo (1998)
Studia Mathematica
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We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.
Approximation on the sphere by Besov analytic functions
Evgueni Doubtsov (1997)
Studia Mathematica
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Boundary values of zero-smooth Besov analytic functions in the unit ball of are investigated. Bounded Besov functions with prescribed lower semicontinuous modulus are constructed. Correction theorems for continuous Besov functions are proved. An approximation problem on great circles is studied.
Regularity of the multidimensional scaling functions: estimation of the -Sobolev exponent
Jarosław Kotowicz (1999)
Applicationes Mathematicae
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The relationship between the spectral properties of the transfer operator corresponding to a wavelet refinement equation and the -Sobolev regularity of solution for the equation is established.