Results 41 to 50 of about 5,210,310 (318)

Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]

open access: yes, 2004
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
core   +1 more source

Sobolev Spaces in Extended Metric-Measure Spaces [PDF]

open access: yes, 2021
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
core   +1 more source

Compact embeddings of broken Sobolev spaces and applications [PDF]

open access: yes, 2009
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
core   +1 more source

Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

open access: yesOpen Mathematics, 2023
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
doaj   +1 more source

Extreme points and rotundity of Orlicz-Sobolev spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
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
doaj   +1 more source

Weighted Sobolev spaces: Markov-type inequalities and duality

open access: yesBulletin of Mathematical Sciences, 2017
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
doaj   +1 more source

On the Lebesgue and Sobolev spaces on a time-scale [PDF]

open access: yesOpuscula Mathematica, 2019
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
doaj   +1 more source

W-Sobolev spaces

open access: yesJournal of Mathematical Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simas, Alexandre B., Valentim, Fábio J.
openaire   +2 more sources

Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]

open access: yes, 2015
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
core   +1 more source

On Trace Theorems for Sobolev Spaces

open access: yesLe Matematiche, 2019
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
openaire   +3 more sources

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