Results 131 to 140 of about 2,233 (221)

Existence of an extremal function of critical Sobolev embedding with an $\alpha $-homogeneous weight

Comptes Rendus. Mathématique
In [Calc. Var. Partial Differ. Equ. 60 (2021), no. 1, article no. 16 (27 pages)], we revisited a critical Sobolev-type embedding for weighted Sobolev spaces as introduced in [J. Differ. Equations 255 (2013), no. 11, pp.
Gurka, Petr, Hauer, Daniel
doaj   +1 more source

Weighted Sobolev spaces and regularity for polyhedral domains

, 2005
Ammann, Bernd; Nistor, Victor. (2005). Weighted Sobolev spaces and regularity for polyhedral domains.
Ammann, Bernd, Victor Nistor, Bernd Ammann, Nistor, Victor   +3 more
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A priori estimates for elliptic equations in weighted Sobolev spaces

, 2010
In this paper we prove some a priori bounds for the solutions of the Dirichlet problem for elliptic equations with singular coefficients in weighted Sobolev ...
Loredana Caso, Maria Transirico, CASO, Loredana, TRANSIRICO, Maria   +3 more
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Markov-Type Inequalities on Weighted Sobolev Spaces with Doubling Weights

Mediterranean Journal of Mathematics
Abstract Markov-type inequalities provide estimates of the ratio of the norm of derivatives of a polynomial and the norm of the polynomial itself, and so, they play a main role in approximation theory. Weighted Sobolev spaces constitute the framework of the study of Sobolev orthogonal polynomials.
Francisco Marcellán, José, M. Rodríguez   +1 more
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EMBEDDING THEOREMS IN BANACH -VALUED SOBOLEV-LIOUVILLE SPACES AND THEIR APPLICATIONS

Electrica, 2002
In this paper we introduce a Banach- valued Sobolev-Liouville spaces associated with Banach spaces E1,E and some parameters and proved continuity and compacness of embedding operators in these spaces in terms of theory interpolations of Banach spaces ...
Veli SHAKHMUROV
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Existence of solutions for some degenerate quasilinear elliptic equations

Le Matematiche, 2008
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations 
Albo Carlos Cavalheiro
doaj  

On imbeddings of weighted Sobolev spaces

, 1995
Summary: We obtain the continuous (and also compact) imbedding \[ W^{1,p} (\Omega,\nu_0,\nu_2)\to W^{1,p} (\Omega,w) \] under certain conditions on weights, where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\). Also, for the case \(\nu_0=\nu_1\), this imbedding is shown to exist under less restrictive conditions. Finally, the imbedding \[ W^{1,p} (\
openaire   +2 more sources

Cauchy problems for fifth-order KdV equations in weighted Sobolev spaces

Electronic Journal of Differential Equations, 2015
In this work we study the initial-value problem for the fifth-order Korteweg-de Vries equation $$ \partial_{t}u+\partial_{x}^{5}u+u^k\partial_{x}u=0, \quad x,t\in \mathbb{R}, \; k=1,2, $$ in weighted Sobolev spaces $H^s(\mathbb{R})\cap L^2 ...
Eddye Bustamante, Jose Jimenez, Jorge Mejia   +2 more
doaj  

Regression in tensor product spaces by the method of sieves. [PDF]

Electron J Stat, 2023
Zhang T, Simon N.
europepmc   +1 more source

APPROXIMATION THEORY FOR WEIGHTED SOBOLEV SPACES ON CURVES VENANCIO

, 2008
. In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete. We also prove the density of the polynomials in these spaces for non-closed compact curves and, finally, we find
José M. Rodríguez, Luis Español Yjuan L. Varona, Elena Romera, Domingo Pestana   +3 more
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