Results 101 to 110 of about 27,220 (202)

A Kind of Estimate of Difference Norms in Anisotropic Weighted Sobolev-Lorentz Spaces

Journal of Inequalities and Applications, 2009
We investigate the functions spaces on ℝn for which the generalized partial derivatives Dkrkf exist and belong to different Lorentz spaces Λpk,sk(w), where pk>1 and w is nonincreasing and satisfies some special conditions.
Jiecheng Chen, Hongliang Li
doaj   +1 more source

Harmonic maps to the circle with higher dimensional singular set

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley   +1 more source

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

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
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
doaj   +1 more source

Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains

Boundary Value Problems, 2008
This paper is concerned with the study of the Dirichlet problem for a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝn, n≥3.
Maria Transirico, Sara Monsurrò, Serena Boccia   +2 more
doaj   +1 more source

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

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

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