Results 71 to 80 of about 2,173 (142)
Open Mathematics, 2023 We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: ΔHu−μ1ϕ1u=∣u∣2u+Fu(ξ,u,v),inΩ,−ΔHv+μ2ϕ2v=∣v∣2v+Fv(ξ,u,v),inΩ,−ΔHϕ1=u2,−ΔHϕ2=v2,inΩ,ϕ1=ϕ2=u=v=0,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{H}u-{\mu }_{1}{
Li Shiqi, Song Yueqiang
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A Note on Div-Curl Lemma [PDF]
, 2007 2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include
Gala, Sadek
core
Orlicz norm inequalities for the composite operator and applications
Journal of Inequalities and Applications, 2011 In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
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Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
Open Mathematics, 2017 In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions.
Los Valerii, Murach Aleksandr
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The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application
, 2016 The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents is given. As its application, the boundedness of a convolution type singular integral on HerzMorrey-Hardy spaces with variable exponents is obtained.
Jingshi Xu, Xiaodi Yang
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A real variable characterization of Gromov hyperbolicity of flute surfaces [PDF]
, 2008 23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006 ...
Portilla, Ana +2 more
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Remarks on a nonlinear nonlocal operator in Orlicz spaces
Advances in Nonlinear Analysis, 2019 We study integral operators Lu(χ)=∫ℝℕψ(u(x)−u(y))J(x−y)dy$\mathcal{L}u\left( \chi \right)=\int{_{_{\mathbb{R}}\mathbb{N}}\psi \left( u\left( x \right)-u\left( y \right) \right)J\left( x-y \right)dy}$of the type of the fractional p-Laplacian operator ...
Correa Ernesto, Pablo Arturo de
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Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space
, 2018 We introduce Herz-Morrey-Orlicz spaces on the half space, and study the boundedness of the Hardy-Littlewood maximal operator. As an application, we establish Sobolev’s inequality for Riesz potentials of functions in such spaces, which is one of mixed ...
Y. Mizuta, T. Ohno, T. Shimomura
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The fractional Hardy inequality with a remainder term
, 2009 We calculate the regional fractional Laplacian on some power function on an interval. As an application, we prove Hardy inequality with an extra term for the fractional Laplacian on the interval with the optimal constant.
Dyda, Bartłomiej
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Embeddings properties on Herz-type Besov and Triebel-Lizorkin spaces
, 2013 We study the embeddings problems on Herz-type Besov-Triebel-Lizorkin spaces. In particular we will give a proof of the Sobolev-type embedding for these function spaces.
D. Drihem
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