Results 101 to 110 of about 5,037 (196)
Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]
, 2015 summary:Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition.
Ohno, Takao +3 more
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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
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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 +2 more
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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 ...
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The sharp constant for truncated Hardy-Littlewood maximal inequality
summary:This paper focuses on the operator norm of the truncated Hardy-Littlewood maximal operator $M^b_a$ and the strong truncated Hardy-Littlewood maximal operator $\widetilde {M}^{\boldsymbol {b}}_{\boldsymbol {a}}$, respectively. We first present the
Wu, Jia +3 more
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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
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Limit case of Hardy-Littlewood-Sobolev inequality for martingales
, 2022 11 ...
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A Framework for Proving Hilbert's Double Integral Inequality and Related Results
, 1999 The classical Hilbert and Hardy integral inequalities are derived within a functional analytic framework.
Peachey, Tom C
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Fractional Hardy-Sobolev-Maz'ya inequality for domains [PDF]
, 2011 We prove a fractional version of the Hardy–Sobolev–Maz’ya inequality for arbitrary domains and Lp norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp ...
Dyda, Bartlomiej, Frank, Rupert L.
core
Doubly nonlocal system with Hardy–Littlewood–Sobolev critical nonlinearity
, 2018 ACLInternational audienceThis article concerns about the existence and multiplicity of weak solutions for the following nonlinear doubly nonlocal problem with critical nonlinearity in the sense of Hardy-Littlewood-Sobolev inequality{(-Delta)(s)u = lambda
T. Mukherjee +5 more
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