An approximation theorem in higher order Orlicz-Sobolev spaces and applications [PDF]
, 1989 Abdelmoujib Benkirane +1 more
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Probabilistic linear widths of Sobolev space with Jacobi weights on [Formula: see text]. [PDF]
J Inequal Appl, 2017 Zhai X, Hu X.
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On imbedding theorems for Sobolev spaces and some of their generalization
, 1967 Tosinobu Muramatu
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Estimates in Sobolev norms $∥ ·∥^{s}_{p}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions [PDF]
, 1987 Ewa Ligocka
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Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable [PDF]
, 1981 Douglas N. Arnold +2 more
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Orlicz-Sobolev spaces and imbedding theorems
, 1971 Thomas Donaldson, Neil S. Trudinger
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Inequalities in the most simple Sobolev space and convolutions of 𝐿₂ functions with weights [PDF]
, 1993 Saburou Saitoh
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A density result in Sobolev spaces
Journal de Mathématiques Pures et Appliquées, 2002 Let \(\Omega\) be an open set in \(\mathbb{R}^n\). The author considers the problem of the density of ``nice'' functions, satisfying the Neumann boundary condition, in the Sobolev space \(W^{1,p}(\Omega)\). He proves two theorems on this density, one for the case of polygonal sets which have Lipschitz boundary contained in a finite union of hyperplanes,
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A priori estimates in geometry and Sobolev spaces on open manifolds [PDF]
, 1992 Jürgen Eichhorn
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