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On measures of non-compactness and applications to embeddings

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author discusses the compactness and noncompactness of imbeddings between Orlicz spaces and weighted Sobolev spaces. Important tools are capacity estimates and special measures of noncompactness studied in the author's previous work [see e.g. Z. Anal. Anwend. 15, No. 2, 299-307 (1996; Zbl 0849.47031)].
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Compactness of Embeddings of Sobolev Spaces

Journal of the London Mathematical Society, 1989
On prouve une inegalite de Poincare pour des fonctions s'annulant sur une partie de la limite de leur domaine. En utilisant cette inegalite on etudie la compacite du plongement ou de l'immersion (embedding) des espaces de Sobolev ponderes.
Duong Minh Duc, null Le Dung
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Compact Aspect Embedding for Diversified Query Expansions

Proceedings of the AAAI Conference on Artificial Intelligence, 2014
Diversified query expansion (DQE) based approaches aim to select a set of expansion terms with less redundancy among them while covering as many query aspects as possible. Recently they have experimentally demonstrate their effectiveness for the task of search result diversification. One challenge faced by existing DQE approaches is how
Xiaohua Liu   +3 more
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Fano plane’s embeddings on compact orientable surfaces

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catalano, Domenico A., Sarti, Cristina
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Dynamic Compact Planar Embeddings

2023
Travis Gagie   +2 more
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Compact embeddings and proper mappings

Nonlinear Analysis: Theory, Methods & Applications, 2010
Let \(X\) and \(Y\) be a Banach spaces over the field of real or complex numbers. Let \(L(X,Y)\) denote the set of all continuous linear mappings from \(X\) to \(Y\). In this paper, the following theorem is established. Theorem. Let \(X\subseteq Y\) be a compact embedding and \(i: X\to Y\) be a continuous linear injective map. Suppose that {\parindent7.
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Embedding and compact embedding for weighted and abstract Sobolev spaces

Pacific Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Affine embeddings of flat compact manifolds I

Annals of Global Analysis and Geometry, 1987
The aim of this paper is to construct affine embeddings of compact flat manifolds M with cyclic holonomy group of prime order p, called \(Z_ p\)- manifolds, into Euclidean space. First of all, the author shows that every compact flat manifold has the structure of a real affine variety and gives an explicit set of generators of the affine algebra of a \(
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Examples of compact embedded convex λ-hypersurfaces

Journal of Functional Analysis
A hypersurface \(\Sigma^{n}\subset\mathbb{R}^{n+1}\) is called a \(\lambda\)-hypersurface if \[ H+\left\langle X,\nu\right\rangle=\lambda, \] for a constant \(\lambda\in\mathbb{R}\), where \(H\) is the mean curvature, \(X\) is the position vector of \(\Sigma^{n}\), and \(\nu\) is an (inward) unit normal vector to \(\Sigma^{n}\).
Cheng, Qing-Ming   +2 more
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Compact network embedding for fast node classification

Pattern Recognition, 2023
Xiaobo Shen   +2 more
exaly  

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