Results 41 to 50 of about 5,210,310 (318)
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
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Sobolev Spaces in Extended Metric-Measure Spaces [PDF]
These lecture notes contain an extended version of the material presented in the C.I.M.E. summer course in 2017. The aim is to give a detailed introduction to the metric Sobolev theory. The notes are divided in four main parts.
Savaré, Giuseppe, Giuseppe Savaré
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Compact embeddings of broken Sobolev spaces and applications [PDF]
In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case.
Buffa, Annalisa, Ortner, Christoph
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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Extreme points and rotundity of Orlicz-Sobolev spaces
It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces.
Shutao Chen +2 more
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Weighted Sobolev spaces: Markov-type inequalities and duality
Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
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On the Lebesgue and Sobolev spaces on a time-scale [PDF]
We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval.
Ewa Skrzypek +1 more
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Simas, Alexandre B., Valentim, Fábio J.
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Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]
summary:Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition.
Ohno, Takao +3 more
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On Trace Theorems for Sobolev Spaces
We survey a few trace theorems for Sobolev spaces on $N$-dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundaries, as well as less known results for Lipschitz boundaries, including Besov's Theorem and other characterizations of traces on planar domains, polygons in particular, in the ...
Lamberti, PD, Provenzano, L
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