Results 31 to 40 of about 5,037 (196)
Sharp Hardy–Littlewood–Sobolev inequalities on the octonionic Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2016 The Hardy-Littlewood-Sobolev inequality for the conjugate exponent on a group of Heisenberg type has the form \[ \left|\iint_{G\times G}\frac{\overline{f(u)}g(v)}{|u^{-1}v|^\lambda}dudv\right|\lesssim\|f\|_p\|g\|_p, \] where ...
Christ, Michael, Liu, Heping, Zhang, An
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Resistance Conditions and Applications
Analysis and Geometry in Metric Spaces, 2013 This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several ...
Kinnunen Juha, Silvestre Pilar
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Stability of Hardy Littlewood Sobolev inequality under bubbling
Calculus of Variations and Partial Differential Equations, 2023 AbstractIn this note we will generalize the results deduced in Figalli and Glaudo (Arch Ration Mech Anal 237(1):201–258, 2020) and Deng et al. (Sharp quantitative estimates of Struwe’s Decomposition. Preprint http://arxiv.org/abs/2103.15360, 2021) to fractional Sobolev spaces. In particular we will show that for $$s\in (0,1)$$
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Hardy inequality: genesis and applications [PDF]
, 2022 openArgomento principale della tesi è la disuguaglianza di Hardy. Dopo averla introdotta nella sua forma sia discreta che continua, dimostrata e averne dato qualche generalizzazione, introdurremo la nozione di spazio di Sobolev, illustrando le ...
TEDESCO, NICOLÒ
core
Existence of positive solutions to negative power nonlinear integral equations with weights
Boundary Value Problems, 2020 This paper is devoted to the existence and non-existence of positive solutions to the following negative power nonlinear integral equation related to the sharp reversed Hardy–Littlewood–Sobolev inequality: f q − 1 ( x ) = ∫ Ω K ( x ) f ( y ) K ( y ) | x −
Hang Chen, Qianqiao Guo, Qian Wang
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On the critical Choquard-Kirchhoff problem on the Heisenberg group
Advances in Nonlinear Analysis, 2022 In this paper, we deal with the following critical Choquard-Kirchhoff problem on the Heisenberg group of the form: M(‖u‖2)(−ΔHu+V(ξ)u)=∫HN∣u(η)∣Qλ∗∣η−1ξ∣λdη∣u∣Qλ∗−2u+μf(ξ,u),M\left(\Vert u{\Vert }^{2})\left(-{\Delta }_{{\mathbb{H}}}u\left+V\left(\xi )u)=\
Sun Xueqi, Song Yueqiang, Liang Sihua
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Biharmonic system with Hartree-type critical nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this article, we investigate the multiplicity results of the following biharmonic Choquard system involving critical nonlinearities with sign-changing weight function: \begin{align*} \begin{cases} \Delta^{2}u = \lambda F(x) |u|^{r-2}u+ H(x)\left ...
Anu Rani, Sarika Goyal
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Extremal problems of Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds [PDF]
Journal of Mathematical Analysis and Applications, 2021 This paper studies the existence of extremal problems for the Hardy-Littlewood-Sobolev inequalities on compact manifolds without boundary via Concentration-Compactness principle.
Zhang, Shutao, Han, Yazhou
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The best constant in a weighted Hardy-Littlewood-Sobolev inequality [PDF]
Proceedings of the American Mathematical Society, 2007 We prove the uniqueness for the solutions of the singular nonlinear PDE system: (1)
Chen, Wenxiong, Li, Congming
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Advances in Nonlinear Analysis, 2021 We are concerned with a class of Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical ...
Zhou Shuai, Liu Zhisu, Zhang Jianjun
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