Results 91 to 100 of about 648,405 (147)

Limit case of Hardy-Littlewood-Sobolev inequality for martingales

, 2022
11 ...
openaire   +2 more sources

Normalized solutions for planar Schrödinger-Poisson system with critical exponential growth and nonlocal interaction [PDF]

Opuscula Mathematica
This paper focuses on the following planar Schrödinger-Poisson system with critical exponential growth and nonlocal interaction \[\begin{cases}-\Delta u+\lambda u+\mu(\log|\cdot|*u^2)u = \gamma \left( I_\alpha * |u|^q \right) |u|^{q-2} u+\left(e^{u^2}-1 ...
Chenlu Wei, Sitong Chen, Muhua Shu
doaj   +1 more source

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, Romera, Elena, Rodríguez, José M., Álvarez, Venancio   +3 more
core   +1 more source

Regularity lifting result for an integral system involving Riesz potentials

Electronic Journal of Differential Equations, 2017
In this article, we study the integral system involving the Riesz potentials $$\displaylines{ u(x)=\sqrt{p} \int_{\mathbb{R}^n}\frac{u^{p-1}(y)v(y)dy}{|x-y|^{n-\alpha}}, \quad u>0 \text{ in } \mathbb{R}^n,\cr v(x)=\sqrt{p} \int_{\mathbb{R}^n}\frac{u ...
Yayun Li, Deyun Xu
doaj  

Existence of extremals for stability of nonlocal Sobolev inequality

Advanced Nonlinear Studies
This paper is devoted to quantitative refinements of the nonlocal Sobolev inequality with explicit determination of stability constants. In the single-bubble regime, we rigorously prove that the optimal stability constantcHLS=infu∈D1,2(RN)\M‖∇u‖L2(RN)2 ...
Zhang Qian
doaj   +1 more source

Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality

, 2010
<p>Submitted - <a href="/records/458yg-fnj69/files/1003.5248.pdf?download=1">1003.5248.pdf</a></p>
Frank, Rupert L., Lieb, Elliott H.
openaire   +3 more sources

The Hardy-Littlewood Inequality for the Solution to P-Harmonic Type System

, 2011
[[abstract]]Hardy-Littlewood inequality is instrumental in virtually all analytic aspects of the theory of partial differential equations, linear and nonlinear.
Ronglu Li, Yi Ling, Lifeng Guo, Zhenhua Cao, Gejun Bao   +4 more
core  

Hardy-Littlewood-Sobolev inequality in total Morrey spaces

Positivity
We study some necessary and sufficient conditions for the boundedness of the Riesz potential operator Iα and its commutator on the total Morrey spaces Lp,λ,μ(Rn). We characterize the strong and weak Spanne type and Adams type boundedness of Iα on Lp,λ,μ(Rn), respectively.
openaire   +2 more sources

Generalized affine Hardy-Littlewood-Sobolev inequalities

We establishe an affine Hardy-Littlewood-Sobolev inequality concerning two different functions which is stronger than the classical Hardy-Littlewood-Sobolev inequality. Furthermore, we also prove reverse inequalities for the new inequalities for log-concave functions.
Lin, Youjiang, Zhou, Jinghong, Lan, Jiaming   +2 more
openaire   +2 more sources

On nonhomogeneous Choquard equation with Hardy–Littlewood–Sobolev critical nonlinearity

Boundary Value Problems
In this paper, we investigate the existence of nontrivial solutions to the following critical nonhomogeneous Choquard equation: { − Δ u = λ u + ∫ Ω ( | u ( y ) | 2 α ∗ | x − y | α d y ) | u | 2 α ∗ − 2 u + f ( x ) i n Ω , u ∈ H 0 1 ( Ω ) , $$ \left ...
Rachid Echarghaoui, Rachid Kouik, Rachid Sersif   +2 more
doaj   +1 more source