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High and low perturbations of the critical Choquard equation on the Heisenberg group 海森堡群上临界乔卡方程的高扰动和低扰动
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-10-20 DOI: 10.57262/ade029-0304-153
Shujie Bai, Yueqiang Song, Duvsan D. Repovvs
We study the following critical Choquard equation on the Heisenberg group: begin{equation*} begin{cases} displaystyle {-Delta_H u }={mu} |u|^{q-2}u+int_{Omega} frac{|u(eta)|^{Q_{lambda}^{ast}}} {|eta^{-1}xi|^{lambda}} deta|u|^{Q_{lambda}^{ast}-2}u&mbox{in } Omega, u=0&mbox{on } partialOmega, end{cases} end{equation*} where $Omegasubset mathbb{H}^N$ is a smooth bounded domain, $Delta_H$ is the Kohn-Laplacian on the Heisenberg group $mathbb{H}^N$, $10$, $0
我们研究海森堡群上的下列临界乔夸尔方程:Begin{equation*}开始{-Delta_H u }={mu} |u|^{q-2}u+int_{Omega} frac{|u(eta)|^{Q_{lambda}^{ast}} }{|eta^{-1}xi|^{lambda}} deta|u|^{Q_{lambda}^{ast}-2}u&mbox{in }Omega, u=0&mbox{on }partialOmega, (end{cases}end{equation*} 其中 $Omegasubset mathbb{H}^N$ 是光滑有界域,$Delta_H$ 是海森堡群 $mathbb{H}^N$ 上的 Kohn-Laplacian, $10$, $0
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引用次数: 0
The Helmholtz decomposition of a $BMO$ type vector field in general unbounded domains 一般无界域中 $BMO$ 类型向量场的赫尔姆霍兹分解
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-07-19 DOI: 10.57262/ade029-0506-389
Y. Giga, Zhongyang Gu
We consider a space of $L^2$ vector fields with bounded mean oscillation whose ``normal'' component to the boundary is well-controlled. In the case when the dimension $n geq 3$, we establish its Helmholtz decomposition for arbitrary uniformly $C^3$ domain in $mathbf{R}^n$.
我们考虑了一个具有有界均值振荡的 $L^2$ 向量场空间,它的边界 "法向 "分量是很好控制的。在维数为 $ngeq 3$ 的情况下,我们为 $mathbf{R}^n$ 中任意均匀的 $C^3$ 域建立了它的亥姆霍兹分解。
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引用次数: 0
Impulsive evolution processes: abstract results and an application to a coupled wave equations 脉冲演化过程:抽象结果及其在耦合波动方程中的应用
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-07-01 DOI: 10.57262/ade028-0708-569
E. Bonotto, M. J. Nascimento, E. B. Santiago
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引用次数: 1
Multiplicity results of solutions to the double phase anisotropic variational problems involving variable exponent 涉及变指数的双相各向异性变分问题解的多重性结果
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-05-01 DOI: 10.57262/ade028-0506-467
Jinxia Cen, Seon-Jin Kim, Yun-Ho Kim, Shengda Zeng
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引用次数: 3
Hierarchical exact controllability of hyperbolic equations and Dunford-Pettis' theorem 双曲方程的层次精确可控性及Dunford-Pettis定理
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-05-01 DOI: 10.57262/ade028-0506-505
F. D. Araruna, E. Fernández-Cara, L. C. da Silva
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引用次数: 0
Existence of positive solution for a class of elliptic problems with indefinite nonlinearities with critical and supercritical growth 一类具有临界和超临界增长的不定非线性椭圆问题正解的存在性
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-05-01 DOI: 10.57262/ade028-0506-347
G. Costa, G. Figueiredo, J. C. Junior
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引用次数: 2
Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth 临界生长分数阶Schrödinger-Poisson系统的多重正界态解
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-03-01 DOI: 10.57262/ade028-0304-217
Wen Guan, Da-Bin Wang
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引用次数: 0
Landesman-Lazer type conditions for scalar one-sided superlinear nonlinearities with Neumann boundary conditions 具有Neumann边界条件的标量单边超线性非线性的Landesman-Lazer型条件
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-03-01 DOI: 10.57262/ade028-0304-247
Rossella Marvulli, Andrea Sfecci
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引用次数: 0
Critical problems with Hardy potential on Stratified Lie Groups 分层李群上Hardy势的临界问题
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-01-01 DOI: 10.57262/ade028-0102-1
Annunziata Loiudice
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引用次数: 2
Double-wall carbon nanotubes model with nonlinear localized damping: Asymptotic stability 具有非线性局域阻尼的双壁碳纳米管模型:渐近稳定性
IF 1.4 3区 数学 Q2 Mathematics Pub Date : 2023-01-01 DOI: 10.57262/ade028-0910-753
M.L. Santos, D. S. Almeida Júnior, S. Cordeiro, R. Lobato
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引用次数: 1
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Advances in Differential Equations
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