Results 111 to 120 of about 648,405 (147)

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  

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  

On positive solution for Klein–Gordon–Maxwell system of Choquard nonlinearity without polynomial growth conditions

Demonstratio Mathematica
This article concerns the following Klein–Gordon–Maxwell system with Choquard nonlinearity−Δu+V(x)u−(2ω+ϕ)ϕu=λf(u)+Iα∗|u|s|u|s−2u,x∈R3,Δϕ=(ω+ϕ)u2,x∈R3, $$\begin{cases}-{\Delta}u+V\left(x\right)u-\left(2\omega +\phi \right)\phi u=\lambda f\left(u\right ...
Duan Yu, Sun Xin, An Yucheng
doaj   +1 more source

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

Competing simmetries: Hardy-Littlewood-Sobolev inequality

openLa tesi tratta una disuguaglianza integrale, detta disuguaglianza di Hardy-Littlewood-Sobolev. Si dimostra dapprima la versione debole, ovvero senza costante ottimale, nel caso generale.
SILVESTRI, VERA
core  

An operator theoretical remark on the Hardy-Littlewood-Sobolev inequality

An operator theoretical remark on the Hardy-Littlewood-Sobolev inequality
application ...
openaire   +1 more source

Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups

Forum Mathematicum, 2022
In this note, we prove the reverse Stein–Weiss inequality on general homogeneous Lie groups. The results obtained extend previously known inequalities.
Michael Ruzhansky, Durvudkhan Suragan
exaly   +2 more sources

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Hardy–Littlewood–Sobolev inequality on the parabolic biangle

The Ramanujan Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Salem, Néjib, Mustapha, Sami
openaire   +1 more source

Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel

Studia Mathematica, 2023
Summary: In this paper, we prove the following reversed Hardy-Littlewood-Sobolev inequality with extension kernel: \[ \int_{\mathbb{R}_+^n}\int_{\partial\mathbb{R}^n_+}\frac{x_n^\beta}{|x-y|^{n-\alpha}}f(y)g(x)\,dy\,dx\geq C_{n,\alpha ,\beta ,p}\|f\|_{L^p(\partial\mathbb{R}_+^n)}\|g\|_{L^{q^\prime}(\mathbb{R}_+^n)} \] for any nonnegative functions \(f ...
Dai, Wei, Hu, Yunyun, Liu, Zhao
openaire   +2 more sources

Extension of Hardy–Littlewood–Sobolev Inequalities for Riesz Potentials on Hypergroups

Mediterranean Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Idha Sihwaningrum, Sri Maryani, Hendra Gunawan   +2 more
openaire   +2 more sources