Results 31 to 40 of about 2,233 (221)
Existence of functions in weighted sobolev spaces [PDF]
Nagoya Mathematical Journal, 2001 The aim of this paper is to determine when there exists a quasicontinuous Sobolev function whose trace is the characteristic function of a bounded set where with As application we discuss the existence of harmonic measures for weighted p-Laplacians in the unit ball.
Futamura, Toshihide, Mizuta, Yoshihiro
openaire +3 more sources
Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source
Современная математика: Фундаментальные направления, 2022 In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
doaj +1 more source
Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces [PDF]
Mathematica Bohemica, 2022 In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the ...
Abdelali Sabri +2 more
doaj +1 more source
A density property for fractional weighted Sobolev spaces [PDF]
, 2015 In this paper we show a density property for fractional weighted Sobolev spaces. That is, we prove that any function in a fractional weighted Sobolev space can be approximated by a smooth function with compact support.
S. Dipierro +3 more
core +1 more source
Convolution Algebraic Structures Defined by Hardy-Type Operators
Journal of Function Spaces and Applications, 2013 The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana +2 more
doaj +1 more source
Adimensional weighted Sobolev inequalities in PI spaces
, 2022 We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and Kleiner-Schioppa spaces ...
Tewodrose, David
core +1 more source
Elastic scattering by unbounded rough surfaces: Solvability in weighted Sobolev spaces [PDF]
, 2013 This paper is concerned with the variational approach in weighted Sobolev spaces to time-harmonic elastic scattering by two-dimensional unbounded rough surfaces.
Elschner, Johannes, Hu, Guanghui
core +1 more source
Stability of a weighted L2 projection in a weighted Sobolev norm
Comptes Rendus. Mathématique, 2023 We prove the stability of a weighted $L^2$ projection operator onto piecewise linear finite elements spaces in a weighted Sobolev norm. Namely, we consider the orthogonal projections $\pi _{N,\omega }$ from $L^2(\mathbb{D},1/\omega (x)\mathrm{d}x)$ to ...
Averseng, Martin
doaj +1 more source
Sobolev–Hardy space with general weight
Journal of Mathematical Analysis and Applications, 2006 In this paper, the authors prove the following \(k\)th order Hardy inequality with general weight. Let \(\Omega\) be a bounded domain. Then, under the assumptions \((H_1)\) and \((H_2)\), for each positive integer \(k\) the inequality \[ \int_{\Omega}\phi|\nabla u|^2\,dx-\int_{\Omega}\phi\sum_{i=1}^{k}\left(\frac{h_i'}{h_i}\right)^2u^2\,dx\geq\int_ ...
Shen, Yaotian, Chen, Zhihui
openaire +1 more source