Results 101 to 110 of about 648,405 (147)
Regularity for critical fractional Choquard equation with singular potential and its applications
Advances in Nonlinear AnalysisWe study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj +1 more source
AxiomsIn this article, we cosider the nonlinear Klein-Gordon-Maxwell system involving a Choquard nonlinearity and a general supercritical nonlinearity under periodic potential. By employing variational methods and Moser iteration, we show that the system has a
Yu Duan, Xin Sun
doaj +1 more source
Hardy-Littlewood-Sobolev inequality on product spaces
, 2018 We study a family of fractional integral operator defined on an homogeneous space with a "rectangle doubling" measure. As a result, we give an extension of the classical Hardy-Littlewood-Sobolev theorem to a multi-parameter setting.
openaire +2 more sources
Sharp Hardy-Littlewood-Sobolev inequalities on a class of H-type groups [PDF]
Séminaire Laurent Schwartz — EDP et applications, 2016 This report is based on a talk given by the author in the Laurent Schwartz seminar at IHÉS, Paris, on February 16, 2016. This involves joint works with Michael Christ and Heping Liu [CLZ16a, CLZ16b, LZ15]. We review several sharp Hardy-Littlewood-Sobolev-type inequalities (HLS) on I-type groups (rank one), which is a special class ...
openaire +2 more sources
On a logarithmic Hartree equation
Advances in Nonlinear Analysis, 2019 We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree
Bernini Federico, Mugnai Dimitri
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +3 more sources
Hardy-littlewood maximal operators in Sobolev spaces
, 2020 Bu tezin amacı Sobolev uzaylarında maksimal operatörlerin özelliklerini incelemektir. Birinci bölümde, önce Sobolev uzayının ve maksimal fonksiyonun öneminden söz ediyoruz. Sonra dikkatimizi maksimal operatörün Sobolev uzayındaki sınırlılığına veriyoruz.
Teğin, Nihat
core +1 more source
Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group
We study a family of fractional integral operators defined on Heisenberg groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type inequality.
Sun, Chuhan, Wang, Zipeng
openaire +2 more sources