Zobrazeno 1 - 10
of 351
pro vyhledávání: '"Yu Junwei"'
In 1948, Fritz John proposed a theorem stating that every convex body has a unique maximal volume inscribed ellipsoid, known as the John ellipsoid. The John ellipsoid has become fundamental in mathematics, with extensive applications in high-dimensio
Externí odkaz:
http://arxiv.org/abs/2408.14018
Determining the John ellipsoid - the largest volume ellipsoid contained within a convex polytope - is a fundamental problem with applications in machine learning, optimization, and data analytics. Recent work has developed fast algorithms for approxi
Externí odkaz:
http://arxiv.org/abs/2408.06395
We study the existence and multiplicity of positive solutions with prescribed $L^2$-norm for the Sobolev critical Schr\"odinger equation on a bounded domain $\Omega\subset\mathbb{R}^N$, $N\ge3$: \[ -\Delta U = \lambda U + U^{2^{*}-1},\qquad U\in H^1_
Externí odkaz:
http://arxiv.org/abs/2404.04594
Publikováno v:
Jixie chuandong, Vol 42, Pp 93-97 (2018)
Aiming at the problem that the upper limb rehabilitation robot has secondary damage caused by inertial impact,a new mechanism of a rope traction upper limb rehabilitation robot is designed by using the hybrid mechanism. To ensure the safety and stabi
Externí odkaz:
https://doaj.org/article/250eb044e883464ab8c4829a89310c2f
Recent technological advancements show promise in leveraging quantum mechanical phenomena for computation. This brings substantial speed-ups to problems that are once considered to be intractable in the classical world. However, the physical realizat
Externí odkaz:
http://arxiv.org/abs/2312.01570
Autor:
Deng, Shengbing, Yu, Junwei
In this paper, we study the existence of normalized solutions to the following nonlinear Choquard equation with exponential growth \begin{align*} \left\{ \begin{aligned} &-\Delta u+\lambda u=(I_{\alpha}\ast F(u))f(u), \quad \quad \hbox{in }\mathbb{R}
Externí odkaz:
http://arxiv.org/abs/2211.01212
Autor:
Deng, Shengbing, Yu, Junwei
In this paper, we study the existence of normalized solutions to the following nonlinear Schr\"{o}dinger systems with exponential growth \begin{align*} \left\{ \begin{aligned} &-\Delta u+\lambda_{1}u=H_{u}(u,v), \quad \quad \hbox{in }\mathbb{R}^{2},\
Externí odkaz:
http://arxiv.org/abs/2210.02331
Autor:
Deng, Shengbing, Yu, Junwei
In this paper, we study the following class of fractional Hamiltonian systems: \begin{eqnarray*} \begin{aligned}\displaystyle \left\{ \arraycolsep=1.5pt \begin{array}{ll} (-\Delta)^{\frac{1}{2}} u + u = \Big(I_{\mu_{1}}\ast G(v)\Big)g(v) \ \ \ & \mbo
Externí odkaz:
http://arxiv.org/abs/2209.12370
Autor:
Deng, Shengbing, Yu, Junwei
In this paper, we study the following Hamiltonian Choquard-type elliptic systems involving singular weights \begin{eqnarray*} \begin{aligned}\displaystyle \left\{ \arraycolsep=1.5pt \begin{array}{ll} -\Delta u + V(x)u = \Big(I_{\mu_{1}}\ast \frac{G(v
Externí odkaz:
http://arxiv.org/abs/2206.12086
Autor:
Zhang, Wanqin, Bao, Wenzhe, Chen, Feifei, Li, Jialin, Yu, Liyuan, Liu, Ruochu, Chi, Chong, Yu, Junwei, Zhao, Xian, Zhu, Bo
Publikováno v:
In International Journal of Hydrogen Energy 28 October 2024 88:945-955