Results 21 to 30 of about 3,866,571 (229)
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
, 2004 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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The sharp Sobolev type inequalities in the Lorentz–Sobolev spaces in the hyperbolic spaces [PDF]
Journal of Mathematical Analysis and Applications, 2020 Let $W^1L^{p,q}(\mathbb H^n)$, $1\leq q,p < \infty$ denote the Lorentz-Sobolev spaces of order one in the hyperbolic spaces $\mathbb H^n$. Our aim in this paper is three-fold. First of all, we establish a sharp Poincaré inequality in $W^1L^{p,q}(\mathbb H^n)$ with $1\leq q \leq p$ which generalizes the result in \cite{NgoNguyenAMV} to the setting of
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Concerning the pathological set in the context of probabilistic well-posedness
Comptes Rendus. Mathématique, 2021 We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
doaj +1 more source
Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space
, 2023 Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifolds in Euclidean space. From the sharp Sobolev inequality, he achieved a breakthrough in the conjecture of isoperimetric inequality for minimal ...
Ho, Pak-tung
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On Trace Theorems for Sobolev Spaces
Le Matematiche, 2019 We survey a few trace theorems for Sobolev spaces on $N$-dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundaries, as well as less known results for Lipschitz boundaries, including Besov's Theorem and other characterizations of traces on planar domains, polygons in particular, in the ...
Lamberti, PD, Provenzano, L
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From Berzelius to Hyperspace: Previously Unrecognized Network of Reactivity in Textbook Brominations
Angewandte Chemie, EarlyView.Robotic scans across multidimensional condition spaces of classic bromination reactions uncover regions of previously unrecognized reactivity, yielding new major products and novel substitution patterns. Correlation and anticorrelation analyses of product distributions across these hyperspaces enable reconstruction of the underlying mechanistic ...
Yankai Jia +9 more
wiley +2 more sources
On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is ...
Omar Benslimane +2 more
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Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana, Domingo +3 more
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Entropy, 2018 We investigate the exponential convergence of a Markovian semigroup in the Zygmund space under the assumption of logarithmic Sobolev inequality. We show that the convergence rate is greater than the logarithmic Sobolev constant.
Ichiro Shigekawa
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