Results 101 to 110 of about 27,468 (197)

Fractional Calculus of Fractal Functions on Weighted Sobolev Spaces

Fractal and Fractional
In this article, the α-fractal interpolation function fα corresponding to any function f belonging to the weighted Sobolev space Wρr,2(I) is defined. The convergence of sequences of α-fractal interpolation functions corresponding to mappings in Wρr,2(I ...
Md. Nazimul Islam, Imrul Kaish, Md. Nasim Akhtar, María A. Navascués   +3 more
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Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models

Archives of Mechanics, 2013
In this paper elastic cusped symmetric prismatic shells (i.e., plates of variable thickness with cusped edges) in the N-th approximation of Vekua’s hierarchical models are considered.
N. Chinchaladze
doaj   +1 more source

W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data

Abstract and Applied Analysis, 2015
We give an overview on some results concerning the unique solvability of the Dirichlet problem in W2,p, p>1, for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces.
Loredana Caso, Roberta D’Ambrosio, Maria Transirico   +2 more
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Universal conformal weights on Sobolev spaces

, 2013
The Riemann Mapping Theorem states existence of a conformal homeomorphism $ $ of a simply connected plane domain $ \subset\mathbb C$ with non-empty boundary onto the unit disc $\mathbb D\subset \mathbb C$. In the first part of the paper we study embeddings of Sobolev spaces $\overset{\circ}{W_{p}^{1}}( )$ into weighted Lebesgue spaces $L_{q}( ,h ...
Gol'dshtein, V., Ukhlov, A.
openaire   +2 more sources

Embeddings of Weighted Sobolev Spaces

, 1999
We prove a version of Schur’s lemma for operators with positive kernels on weighted \(L_p\) spaces and apply the result to Riesz potentials of first order to get weighted generalizations of Trudinger’s limiting embedding.
Krbec, Miroslav, Schott, Thomas
openaire   +1 more source

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

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
doaj   +2 more sources

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  

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

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

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
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