http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
- 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
- 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
RISS 인기검색어
- 검색키워드
- 저자 : Dengfeng Lu (검색결과 6 건)
- 무료
- 기관 내 무료
- 유료
-
Lu, Dengfeng Korean Mathematical Society 2015 대한수학회보 Vol.52 No.2
In this paper, we consider the following Kirchhoff-type Schr$\ddot{o}$dinger system $$\{-\(a_1+b_1{\int}_{\mathbb{R^3}}{\mid}{\nabla}u{\mid}^2dx\){\Delta}u+{\gamma}V(x)u=\frac{2{\alpha}}{{\alpha}+{\beta}}{\mid}u{\mid}^{\alpha-2}u{\mid}v{\mid}^{\beta}\;in\;\mathbb{R}^3,\\-\(a_2+b_2{\int}_{\mathbb{R^3}}{\mid}{\nabla}v{\mid}^2dx\){\Delta}v+{\gamma}W(x)v=\frac{2{\beta}}{{\alpha}+{\beta}}{\mid}u{\mid}^{\alpha}{\mid}v{\mid}^{\beta-2}v\;in\;\mathbb{R}^3,\\u,v{\in}H^1(\mathbb{R}^3),$$ where $a_i$ and $b_i$ are positive constants for i = 1, 2, ${\gamma}$ > 0 is a parameter, V (x) and W(x) are nonnegative continuous potential functions. By applying the Nehari manifold method and the concentration-compactness principle, we obtain the existence and concentration of ground state solutions when the parameter ${\gamma}$ is sufficiently large.
-
MULTIPLICITY OF SOLUTIONS FOR BIHARMONIC ELLIPTIC SYSTEMS INVOLVING CRITICAL NONLINEARITY
Lu, Dengfeng,Xiao, Jianhai Korean Mathematical Society 2013 대한수학회보 Vol.50 No.5
In this paper, we consider the biharmonic elliptic systems of the form $$\{{\Delta}^2u=F_u(u,v)+{\lambda}{\mid}u{\mid}^{q-2}u,\;x{\in}{\Omega},\\{\Delta}^2v=F_v(u,v)+{\delta}{\mid}v{\mid}^{q-2}v,\;x{\in}{\Omega},\\u=\frac{{\partial}u}{{\partial}n}=0,\; v=\frac{{\partial}v}{{\partial}n}=0,\;x{\in}{\partial}{\Omega},$$, where ${\Omega}{\subset}\mathbb{R}^N$ is a bounded domain with smooth boundary ${\partial}{\Omega}$, ${\Delta}^2$ is the biharmonic operator, $N{\geq}5$, $2{\leq}q$ < $2^*$, $2^*=\frac{2N}{N-4}$ denotes the critical Sobolev exponent, $F{\in}C^1(\mathbb{R}^2,\mathbb{R}^+)$ is homogeneous function of degree $2^*$. By using the variational methods and the Ljusternik-Schnirelmann theory, we obtain multiplicity result of nontrivial solutions under certain hypotheses on ${\lambda}$ and ${\delta}$.
-
Multiplicity of solutions for biharmonic elliptic systems involving critical nonlinearity
Dengfeng Lu,Jianhai Xiao 대한수학회 2013 대한수학회보 Vol.50 No.5
In this paper, we consider the biharmonic elliptic systems of the form [수식] where Ω ⊂ RN is a bounded domain with smooth boundary Ω, △2 is the biharmonic operator, N ≥ 5, 2 ≤ q < 2∗, 2∗ = 2N N−4 denotes the critical Sobolev exponent, F ∈ C1(R2, R+) is homogeneous function of degree 2∗. By using the variational methods and the Ljusternik-Schnirelmann theory, we obtain multiplicity result of nontrivial solutions under certain hypotheses on λ and δ. In this paper, we consider the biharmonic elliptic systems of the form [수식] where Ω ⊂ RN is a bounded domain with smooth boundary Ω, △2 is the biharmonic operator, N ≥ 5, 2 ≤ q < 2∗, 2∗ = 2N N−4 denotes the critical Sobolev exponent, F ∈ C1(R2, R+) is homogeneous function of degree 2∗. By using the variational methods and the Ljusternik-Schnirelmann theory, we obtain multiplicity result of nontrivial solutions under certain hypotheses on λ and δ. .
-
Dengfeng Lu 대한수학회 2015 대한수학회보 Vol.52 No.2
In this paper, we consider the following Kirchhoff-type Schr¨odinger system −(a1 + b1 ∫R3 |∇u|2dx)△u + γV (x)u = 2α/α+β|u|α−2u|v|β in R3, −(a2 + b2 ∫R3 |∇u|2dx)△u + γV (x)u = 2β/α+β|u|α|v|β−2v in R3, u, v ∈ H1(R3), where ai and bi are positive constants for i = 1, 2, γ > 0 is a parameter, V (x) and W(x) are nonnegative continuous potential functions. By applying the Nehari manifold method and the concentration-compactness principle, we obtain the existence and concentration of ground state solutions when the parameter γ is sufficiently large.
-
Dynamic Control Allocation Algorithm for a Class of Distributed Control Systems
Dengfeng Zhang,Shen-Peng Zhang,Zhi-Quan Wang,Baochun Lu 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.2
The control allocation algorithm is developed for a class of distributed control systems with hierarchical structure and similar models of the subsystems, to solve the real-time cooperative control taking the dynamics and possible variations of subsystems into consideration. The augmented state-space model of the subsystems is first established for the control allocation. Based on robust control theory, the constrained and convex optimization is then developed with LMIs form to design the gain matrix of the dynamic control allocation. Furthermore, the closed-loop stability of the distributed control system is analyzed on the basis of stable upper-level main control law. Finally, simulations on the four-corner leveling control system of an advanced hydraulic press demonstrate the effectiveness of the proposed control allocation algorithm.
-
Multiscale singular value manifold for rotating machinery fault diagnosis
Yi Feng,Baochun Lu,Dengfeng Zhang 대한기계학회 2017 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.31 No.1
Time-frequency distribution of vibration signal can be considered as an image that contains more information than signal in time domain. Manifold learning is a novel theory for image recognition that can be also applied to rotating machinery fault pattern recognition based on time-frequency distributions. However, the vibration signal of rotating machinery in fault condition contains cyclical transient impulses with different phrases which are detrimental to image recognition for time-frequency distribution. To eliminate the effects of phase differences and extract the inherent features of time-frequency distributions, a multiscale singular value manifold method is proposed. The obtained low-dimensional multiscale singular value manifold features can reveal the differences of different fault patterns and they are applicable to classification and diagnosis. Experimental verification proves that the performance of the proposed method is superior in rotating machinery fault diagnosis.
연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
