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SOME NEW PROPERTIES ON L^p(Ω,H^n)

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Applied Mathematics(A Journal of Chinese Universities) 2007年第2期22卷 174-180页

作者： jia gao College of Science University of Shanghai for Science and Technology Shanghai 200093 China

Let L^p（Ω, H^n） indicate the L^P-space of the maps for Heisenberg group target. In this paper some new properties are obtained for the space L^p（Ω, H^n）

关键词： Heisenberg group L^P-space quasi-center of mass

Some embedding theorems for W～(1,p)(Ω, H～n)

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Applied Mathematics(A Journal of Chinese Universities) 2010年第1期25卷 85-92页

作者： jia gao ZHANG Guo-qing College of Science University of Shanghai for Science and Technology Shanghai 200090 China

For the maps on the Heisenberg group target, we prove a Poincare type inequality. Applying this Poincare type inequality, we obtain the corresponding versions of Sobolev and Rellich embedding theorems.

关键词： Heisenberg group HSlder continuity embedding theorem.

A 3-DOF Pseudo-Rigid-Body Model for Tension-Based Compliant Bistable Mechanisms

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Chinese Journal of Mechanical Engineering 2010年第2期23卷 149-153页

作者： CHEN Guimin gao Hongwei jia jianyuan School of Mechatronics Xidian University Xi ＇an 710071 China

Compliant bistable mechanisms, devices with two distinct stable equilibrium positions, are used in a variety of applications, such as switches, clasps, and valves. Many kinds of compliant bistable mechanisms were proposed and studied during the past decade. Among them, tension-based compliant bistable mechanisms, that incorporate tension pivots as their flexible members, feature in short travel distance and low power consuming. So far, the design of this kind of bistable mechanisms is done using finite element method through trial and error, thus is time-consuming. By treating the tension pivots as fixed-guided segments and their elongation as a spring, we developed a novel three degree-of-freedom （3-DOF） pseudo-rigid-body model （PRBM） for this kind of bistable mechanisms. The principle of virtual work is used to derive the force-deflection relationship of the PRBM model. The comparison between the PRBM results and the experimental results of the force-deflection characteristics shows that the PRBM can predict not only the bistable behavior of the tension-based bistable mechanisms, but also their soft spring-like post-bistable behavior and the spring-like force-deflection characteristics when pulling in the reverse direction from the as-fabricated position, which is called reverse behavior. The 3-DOF PRBM can be used to design and identify tension-based bistable mechanisms. Using the PRBM instead of the trial-and-error method can greatly reduce the development time of this kind of bistable mechanisms.

关键词： compliant bistable mechanism pseudo-rigid-body model tension pivot

A new 8-O-4′-type neolignan from Ligularia narynensis

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Chinese Chemical Letters 2008年第1期19卷 71-72页

作者： Xue gao Zhong jian jia College of Chemistry and Chemical Engineering State Key Laboratory of Applied Organic Chemistry Lanzhou University Lanzhou 730000 China

A new 8-O-4′-type neolignan named narynenol （1） was isolated from the roots of Ligularia narynensis. Its structure and the relative configurations were confirmed by spectroscopic data interpretation. 2007 Zhong J... 详细信息

关键词： Ligularia narvnensis Compositae Neolignan Narynenol

On a Quasilinear Elliptic Equation with Superlinear Nonlinearities

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Chinese Annals of Mathematics,Series B 2016年第2期37卷 309-322页

作者： gao jia Lina HUANG Xiaojuan ZHANG College of Science University of Shanghai for Science and TechnologyShanghai 200093China. Xingwan School Suzhou 215021JiangsuChina.

This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of R^N. Based on the Galerkin method, Brouwer's theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem.

关键词： Weighted Sobolev space Superlinear Quasilinear elliptic equation

Weighted and Resonance Quasilinear Elliptic Problems with Jumping Nonlinearities

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Acta Mathematicae Applicatae Sinica 2018年第2期34卷 438-450页

作者： gao jia Chun-yan DAI Jie CHEN College of Science University of Shanghai for Science and Technology Shanghai 200093 China Shanghai Tianshan Second Middle School Shanghai 200336 China Xiang Yifu Rong Second Middle School Changsha 410000 China

In this paper, the existence of a nontrivial solution for a class of quasilinear elliptic equations with a disturbance term in a weighted Sobolev space is proved. The proofs rely on Galerkin method, Brouwer＇s theorem... 详细信息

关键词： weighted Sobolev space quasilinear elliptic equation Oalerkin method

Singular Quasilinear Elliptic Problems with Indefinite Weights and Critical Potential

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Acta Mathematicae Applicatae Sinica 2012年第1期28卷 157-164页

作者： gao jia Qing ZHAO Chun-yan DAI College of Science University of Shanghai for Science and TechnologyShanghai 200093China

The Dirichlet problem for a quasilinear sub-critical inhomogeneous elliptic equation with critical potential and singular coefficients, which has indefinite weights in RN, is studied in this paper. We discuss the corresponding eigenvalue problems by the variational techniques and Picone＇s identity, and obtain the existence of non-trivial solutions for the inhomogeneous Dirichlet problem by using Hardy inequality, Mountain Pass Lemma in conjunction with the property of eigenvalues.

关键词： Picone's identity Hardy inequality critical potential Mountain Pass Lemma

Nonfactorizable B→xcoK Decay and QCD Factorization

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Communications in Theoretical Physics 2007年第5X期48卷 885-890页

作者： MENG Ce gao Ying-jia CHAO Kuang-Ta Department of Physics Peking University Beijing 100871 China China Center of Advanced Science and Technology (World Laboratory) Beijing 100080 China

We study the unexpectedly large rate for the factorization-forbidden decay B →xcoK within the QCD factorization approach. We use a non-zero gluon mass to regularize the infrared divergences in vertex corrections. The end-point singularities arising from spectator corrections are regularized and carefully estimated by the off-shellness of quarks. We find that the contributions arising from the vertex and leading-twist spectator corrections are numerically small, and the twist-3 spectator contribution with chiral enhancement and linear end-point singularity becomes dominant. With reasonable choices for the parameters, the branching ratio for B → XcoK decay is estimated to be in the range （2 ～ 4）× 10^-4, which is compatible with the Belle and BaBar data.

关键词： B meson decay QCD factorization charmonium

Effects of disturbance on regeneration of Abies fabri forests at the upper reaches of the Yangtze River

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Forestry Studies in China 2007年第1期9卷 27-32页

作者： gao jia-rong gao Yang Key Laboratory of Soil and Water Conservation and Desertification Combating Ministry of Education College of Soil and Water Conservation Beijing Forestry University Beijing 100083 P. R. China

Mudflow is the principal disturbance in Abies fabri forests. In the Gongga Mountain areas of the upper reaches of the Yangtze River, the intensities and periodicity of different scale mudflows vary. Small-scale mudflows are more frequent, occurring every one or two years while large-scale mudflows may occur once in more than one hundred years. Through a field study of *** forests during different stages of growth, we analyzed their structural characteristics and discovered that after different sizes of mudflow, poplar and birch often occupy the dominant canopy at the expense of the slow growing A. fabri, for only a small number of saplings are A. fabri that occurs in the first regeneration stage. However, a large number of seed resources can be found in mature A. fabri forests and as a unique regeneration species, A. fabri will gradually replace all the other species and form a stable community of strong shade-tolerant trees. Because of the intimate relationship between growing conditions and soil and water conservation at the upper reaches of the Yangtze River, we should carry out some artificial measurements to control and promote the slow regeneration process ofA. fabri.

关键词： Gongga Mountains dark coniferous forest Abiesfabri community composition