Results 121 to 130 of about 5,037 (196)

Hardy-Littlewood-Sobolev inequalities with partial variable weight on the upper half space and related inequalities

, 2023
In this paper, we establish a class of Hardy-Littlewood-Sobolev inequality with partial variable weight functions on the upper half space using a weighted Hardy type inequality.
Ma, Jingjing, Dou, Jingbo
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A Hardy-Littlewood maximal inequality for Jacobi type hypergroups

, 1989
A Hardy-Littlewood maximal inequality is proved for a class of probability preserving measure algebras on compact intervals.
William C. Connett, Alan L. Schwartz
core   +1 more source

Multiplicity of solutions to a nonlocal Choquard equation involving fractional magnetic operators and critical exponent

Electronic Journal of Differential Equations, 2016
In this article, we study the multiplicity of solutions to a nonlocal fractional Choquard equation involving an external magnetic potential and critical exponent, namely, $$\displaylines{ (a+b[u]_{s,A}^2)(-\Delta)_A^su+V(x)u =\int_{\mathbb{R}^N ...
Fuliang Wang, Mingqi Xiang
doaj  

Resultados de existência para equações elípticas com termos singulares

, 2013
Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
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Existence of solutions for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities

Electronic Journal of Differential Equations, 2019
In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
doaj  

An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

Advanced Nonlinear Studies
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand, Giacomoni Jacques, Sreenadh Konijeti   +2 more
doaj   +1 more source

Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs

Fractal and Fractional
This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·).
Waqar Afzal, Mujahid Abbas, Jorge E. Macías-Díaz, Armando Gallegos, Yahya Almalki   +4 more
doaj   +1 more source

The BCS Critical Temperature at High Density. [PDF]

Math Phys Anal Geom, 2022
Henheik J.
europepmc   +1 more source

The Limiting Cases of Affine Hardy-Littlewood-Sobolev Inequalities

In this paper, we studied the limiting cases of $\alpha \to n^-$ and $\alpha \to 0^+$ in the affine Hardy-Littlewood-Sobolev (HLS) inequalities proved in [25]. To be specific, we established affine logarithmic HLS inequalities and affine Beckner-type logarithmic Sobolev inequalities with respect to two different functions.
Youjiang Lin, Jiaming Lan, Jinghong Zhou
openaire   +1 more source

On Multidimensional Inequality in Partitions of Multisets [PDF]

We study multidimensional inequality in partitions of finite multisets with thresholds. In such a setting, a Lorenz-like preorder, a family of functions preserving such a preorder, and a counterpart of the Pigou-Dalton transfers are defined, and a ...
Ernesto Savaglio, Stefano Vannucci
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