Results 121 to 130 of about 2,233 (221)
Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]
, 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
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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 +2 more
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Optimal function spaces in weighted Sobolev embeddings with monomial weight
, 2023 In this thesis we study a weighted Sobolev-type inequality for functions from a certain Sobolev-type space that is built upon a rearrangement-invariant space.
Drážný, Ladislav
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The imbedding theorems for weighted Sobolev spaces II
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1991 The author discusses weighted Poincaré and Sobolev inequalities, where the weight is of the form \(\operatorname{dist}(x,F)^\alpha\) for some closed set \(F\) in \(\mathbb{R}^n\). The behavior of the tubular neighborhoods of \(F\) determine the admissibility of the weight. Applications to degenerate elliptic equations are given.
openaire +3 more sources
Sharp estimates for the polynomial approximation in weighted Sobolev spaces [PDF]
, 2015 © 2015, Pleiades Publishing, Ltd. We obtain sharp estimates for the accuracy of the best approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line in weighted Sobolev spaces with Jacobi, Laguerre, and Hermite ...
Dautov R., Timerbaev M.
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, 2005 We introduce a weighted reproducing kernel Hilbert space which is based on Walsh functions. The worst-case error for integration in this space is studied, especially with regard to (t,m,s)-nets.
Dick, Josef, Pillichshammer, Friedrich
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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
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Resultados de existência para equações elípticas com termos singulares
, 2013 Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
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Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents
The goal of this paper is to define local weighted variable Sobolev spaces of fractional and negative order and their characterization by wavelets. We first consider local weighted variable Sobolev spaces by means of weak derivatives and obtain a wavelet
Sawano Y., Noi T., Izuki M., Nogayama T.
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Sharp estimates for the polynomial approximation in weighted Sobolev spaces
, 2020 © 2015, Pleiades Publishing, Ltd. We obtain sharp estimates for the accuracy of the best approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line in weighted Sobolev spaces with Jacobi, Laguerre, and Hermite ...
Dautov R., Timerbaev M.
core