Results 111 to 120 of about 5,037 (196)
Reverse Stein–Weiss Inequalities on the Upper Half Space and the Existence of Their Extremals
Advanced Nonlinear Studies, 2019 The purpose of this paper is four-fold. First, we employ the reverse weighted Hardy inequality in the form of high dimensions to establish the following reverse Stein–Weiss inequality on the upper half space:
Chen Lu, Lu Guozhen, Tao Chunxia
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A fractional version of Rivière's GL(n)-gauge. [PDF]
Ann Mat Pura Appl, 2022 Da Lio F, Mazowiecka K, Schikorra A.
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An extension of the Hardy-Littlewood inequality
, 1979 The Hardy-Littlewood inequality is extended from L 2 {L^2} to L w 2 L_w^2 where w is any positive nondecreasing function.
A. Zettl, M. K. Kwong
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Affine logarithmic Hardy-Littlewood-Sobolev inequalities
An affine logarithmic Hardy-Littlewood-Sobolev inequality for functions on Rn is established, that is the limiting case (α → n) of the recent affine Hardy-Littlewood-Sobolev inequalities by Ludwig and Haddad. The new inequality is significantly stronger
Cai, Xiaxing
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A surprising formula for Sobolev norms. [PDF]
Proc Natl Acad Sci U S A, 2021 Brezis H, Van Schaftingen J, Yung PL.
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Advances in Nonlinear AnalysisIn this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai +2 more
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
, 2004 In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He +2 more
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A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]
Rev Mat Complut, 2023 Comi GE, Stefani G.
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Energy Minimisers with Prescribed Jacobian. [PDF]
Arch Ration Mech Anal, 2021 Guerra A, Koch L, Lindberg S.
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Sharp reversed Hardy-Littlewood-Sobolev inequality on $\mathbb R^n$
, 2015 This is the first in our series of papers concerning some Hardy-Littlewood-Sobolev type inequalities. In the present paper, the main objective is to establish the following sharp reversed HLS inequality in the whole space $\mathbb R^n$ \[\int_{\mathbb R^n} \int_{\mathbb R^n} f(x) |x-y|^λg(y) dx dy \geqslant \mathscr C_{n,p,r} \|f\|_{L^p (\mathbb R^n)}\,
Ngô, Quoc Anh, Nguyen, Van Hoang
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