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The Caffarelli–Kohn–Nirenberg inequalities for radial functions

Comptes Rendus. Mathématique, 2023
We establish the full range of the Caffarelli–Kohn–Nirenberg inequalities for radial functions in the Sobolev and the fractional Sobolev spaces of order $0 < s \le 1$.
Mallick, Arka, Nguyen, Hoai-Minh
doaj   +1 more source

Compact Speaker Embedding: lrx-Vector [PDF]

Interspeech 2020, 2020
Accepted to INTERSPEECH ...
Georges, Munir, Huang, Jonathan, Bocklet, Tobias   +2 more
openaire   +3 more sources

Realistic anisotropic Karmarkar stars in Rastall gravitational framework

Results in Physics, 2021
In this study, we discuss the anisotropic matter distribution of compact stars in the context of Rastall modified theory of gravity by applying Karmarkar condition of embedding technique. For this purpose, we consider the spherical symmetric geometry and
M. Zubair, Saira Waheed, M. Farooq Jamal, G. Mustafa   +3 more
doaj   +1 more source

One-Class Classification in Images and Videos Using a Convolutional Autoencoder With Compact Embedding

IEEE Access, 2020
In One-Class Classification (OCC) problems, the classifier is trained with samples of a class considered normal, such that exceptional patterns can be identified as anomalies. Indeed, for real-world problems, the representation of the normal class in the
Manasses Ribeiro, Matheus Gutoski, Andre E. Lazzaretti, Heitor S. Lopes   +3 more
doaj   +1 more source

Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations

Advances in Nonlinear Analysis, 2021
In this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such ...
Han Qi
doaj   +1 more source

Fast and Compact Planar Embeddings [PDF]

Computational Geometry, 2017
This research has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Actions H2020-MSCA-RISE-2015 BIRDS GA No. 690941.
Ferres, Leo, Fuentes, José, Gagie, Travis, He, Meng, Navarro, Gonzalo   +4 more
openaire   +4 more sources

Anisotropic compact stars via embedding approach in general relativity: new physical insights of stellar configurations

European Physical Journal C: Particles and Fields, 2021
The main focus of this paper is to explore the possibility of providing a new family of exact solutions for suitable anisotropic spherically symmetric systems in the realm of general relativity involving the embedding spherically symmetric static metric ...
Abdelghani Errehymy, Youssef Khedif, Mohammed Daoud   +2 more
doaj   +1 more source

Relativistic modeling of stellar objects in a Schwarzschild’s coordinates with embedded class one spacetime

European Physical Journal C: Particles and Fields, 2023
In this study, we investigate a new relativistic anisotropic Einstein field equations solution for compact stars under embedding class 1 conditions. In order to do this, we apply the Karmarkar condition and the embedding class one technique.
Amit Kumar Prasad, Mahesh Kumar, Jitendra Kumar   +2 more
doaj   +1 more source

Compact embeddings of Brézis-Wainger type [PDF]

Revista Matemática Iberoamericana, 2006
Let \Omega be a bounded domain in \mathbb R^n and denote by id_\Omega the restriction operator from the Besov space B_{pq}^{1+n/p}(\mathbb R^n)
Cobos , Fernando, Kühn , Thomas, Schonbek , Tomas   +2 more
openaire   +4 more sources

Almost compact and compact embeddings of variable exponent spaces

Studia Mathematica, 2023
Let $ $ be an open subset of $\mathbb{R}^{N}$, and let $p,\, q: \rightarrow \left[ 1,\infty \right] $ be measurable functions. We give a necessary and sufficient condition for the embedding of the variable exponent space $L^{p(\cdot )}\left( \right) $ in $L^{q(\cdot )}\left( \right) $ to be almost compact.
Edmunds, D. E., Gogatishvili, A., Nekvinda, A.   +2 more
openaire   +2 more sources