Results 101 to 110 of about 71,930 (202)
Riesz Potential on the Heisenberg Group
Journal of Inequalities and Applications, 2011 The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Xiao Jinsen, He Jianxun
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On a singular anisotropic parabolic equation related to the p → ( x ) $\vec{p}(x)$ -Laplacian
Boundary Value ProblemsThis paper investigates a singular anisotropic parabolic equation associated with the p i ( x ) $p_{i}(x)$ -Laplacian operator. By employing the anisotropic Gagliardo-Sobolev-Nirenberg inequality and a modified Di Giorgi iteration technique, we derive a ...
Qitong Ou, Huashui Zhan
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Complete positivity order and relative entropy decay
Forum of Mathematics, SigmaWe prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time.
Li Gao +3 more
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Improved Sobolev Inequalities [PDF]
Transactions of the American Mathematical Society, 1983 openaire +2 more sources
The Best Constant of Sobolev Inequality Corresponding to Clamped Boundary Value Problem
Boundary Value Problems, 2011 Green's function of the clamped boundary value problem for the differential operator on the interval is obtained. The best constant of corresponding Sobolev inequality is given by .
Kametaka Yoshinori +4 more
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Variational inequalities with the duality operator in Banach spaces
Results in Nonlinear Analysis, 2020 We study variational inequality by way of metric projection in Banach spaces. The main method is to use a topological degree theory for the class of operators of monotone type in Banach spaces. More precisely, some variational inequality associated with
In-Sook Kim
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Affine Hardy–Littlewood–Sobolev inequalities
Journal of the European Mathematical SocietySharp affine Hardy–Littlewood–Sobolev inequalities for functions on \mathbb{R}^{n} are established, which are significantly stronger than (and directly imply) the sharp Hardy–Littlewood–Sobolev inequalities by Lieb and by Beckner, Dou, and Zhu.
Julián Eduardo Haddad, Monika Ludwig
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The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces
Advances in Nonlinear AnalysisIn this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun +3 more
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, 2022 Στην παρούσα εργασία θα μελετηθούν δύο ανισότητες Hardy-Sobolev, μια που αφορά απόσταση από σημείο και μια που αφορά απόσταση από σύνορο. Για την ανισότητα Hardy-Sobolev που αφόρα απόσταση απο σημείο βρίσκουμε βέλτιστη σταθερά. Την συσχετίζουμε με μια οριακή περίπτωση της ανισότητας Caffarelli-Kohn-Nirenberg inequality και αποδεικνύουμε ότι είναι ...
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On two reverse inequalities in the Segal-Bargmann space
Electronic Journal of Differential Equations, 2000 We review here two reverse inequalities in the Segal-Bargmann space: a reverse hypercontractivity estimate due to Carlen and a reverse log-Sobolev inequality due to the second author.
Fernando Galaz-Fontes +1 more
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