非线性椭圆和非线性抛物型方程

11131005
2011
A0304.椭圆与抛物型方程
陈化
重点项目
教授
武汉大学
230万元
奇异Yamabe方程;可压液晶动力学方程;Monge-Ampere;方程;方程组;非线性抛物型方程;Chemotaxis
2012-01-01到2016-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Rotationally symmetric solutions to the Lp-Minkowski problem 期刊论文 Lu Jian|Wang Xu-jia|
2 EXPONENTIAL-TYPE NAGUMO NORMS AND SUMMABILITY OF FORMAL SOLUTIONS OF SINGULAR PARTIAL DIFFERENTIAL EQUATIONS 期刊论文 Luo, Zhuangchu|Chen, Hua|Zhang, Changgui|
3 Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity 期刊论文 Chen Hua|Shuying Tian|
4 Existence in non-smooth domain for compressible liquid crystals 期刊论文 Yuming Chu|Xiangao Liu|Wenya Ma|Lequn Peng|
5 A 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect 期刊论文 Y.Y.Zhang|Songmu Zheng|
6 INCOMPRESSIBLE LIMIT OF A COMPRESSIBLE LIQUID CRYSTALS SYSTEM 期刊论文 Yi-hang Hao|Liu Xiangao|
7 Well-posedness and long-time behavior of a non-autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth 期刊论文 Jie Jiang|Hao Wu|Songmu Zheng|
8 Regularity of Traveling Free Surface Water Waves with Vorticity 期刊论文 Chen, Hua|Li, Wei-Xi|Wang, Ling-Jun|
9 The regularity for a class of singular differential equations 期刊论文 Jian Huaiyu|Liu Xiaolin|Ju hongjie|
10 Global Weak Solutions to a General Liquid Crystals System 期刊论文 Yihang Hao|Yuming Chu|
11 GRADIENT ESTIMATES AND ENTROPY FORMULAE FOR WEIGHTED p-HEAT EQUATIONS ON SMOOTH METRIC MEASURE SPACES 期刊论文 Wang Yuzhao|Yang Jie|Chen Wenyi|
12 Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation 期刊论文 Chen Hua|Peng Luo|Shuying Tian|
13 Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents 期刊论文 Chen, Hua|Liu, Xiaochun|Wei, Yawei|
14 Gradient estimates and entropy monotonicity formula for doubly nonlinear diffusion equations on Riemannian manifolds 期刊论文 Wang Yuzhao|Chen Wenyi|
15 Multiple sign changing solutions for semi-linear corner degenerate elliptic equations with singular potential 期刊论文 Chen Hua|Shuying Tian|Yawei Wei|
16 Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term 期刊论文 Chen, Hua|Liu, Xiaochun|Wei, Yawei|
17 Global existence and nonexistence for semilinear parabolic equations with conical degeneration 期刊论文 Chen Hua|Gongwei Liu|
18 STRONG SOLUTIONS TO THE COMPRESSIBLE LIQUID CRYSTAL SYSTEM 期刊论文 Y.M.Chu|X.G.Liu|X.Liu|
19 Well-posedness for a class of Kirchhoff equations with damping and memory terms 期刊论文 Chen Hua|G.W. Liu|
20 Compactness of Alexandrov-Nirenberg Surfaces 期刊论文 Qing Han|Jia-Xing Hong|Genggeng Huang|
21 Global and blow-up of solutions for a quasilinear parabolic system with viscoelastic and source terms 期刊论文 Liu, Gongwei|Chen, Hua|
22 Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas 期刊论文 Jie Jiang|Songmu Zheng|
23 On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation 期刊论文 Luo, Zhuangchu|Chen, Hua|Zhang, Changgui|
24 ASYMPTOTIC STABILITY AND BLOW-UP OF SOLUTIONS FOR SEMI-LINEAR EDGE-DEGENERATE PARABOLIC EQUATIONS WITH SINGULAR POTENTIALS 期刊论文 Chen Hua|Liu Nian|
25 Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains 期刊论文 Jie Jiang|Hao Wu|Songmu Zheng|
26 Multiple solutions for semi-linear corner degenerate elliptic equations 期刊论文 Chen Hua|Liu, Xiaochun|Wei, Yawei|
27 GLOBAL EXISTENCE, UNIFORM DECAY AND EXPONENTIAL GROWTH FOR A CLASS OF SEMI-LINEAR WAVE EQUATION WITH STRONG DAMPING 期刊论文 Chen, Hua|Liu, Gongwei|
28 Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators 期刊论文 Chen Hua|Qiao RongHua|Luo Peng|Xiao DongYuan|
29 Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term 期刊论文 Chen Hua|S.Y. Tian|Y.W. Wei|
30 Lower bounds of Dirichlet eigenvalues for some degenerate ellipticoperators 期刊论文 Chen Hua|Peng Luo|
31 Mirror symmetric solutions to the centro-affine Minkowski problem 期刊论文 Jian Huaiyu|Lu Jian|Zhu Guangxian|
32 Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds 期刊论文 Chen, Hua|Wei, Yawei|Zhou, Bin|
33 Existence for translating solutions of Gauss curvature flow on exterior domains 期刊论文 Hongjie Ju|Jiguang Bao|Huaiyu Jian|
34 Optimal error estimates of compact finite difference discretizations for the Schr?dinger-Poisson system 期刊论文 Zhang Yong|
35 A FREE BOUNDARY PROBLEM FOR A CLASS OF PARABOLIC TYPE CHEMOTAXIS MODEL 期刊论文 Chen Hua|W.B. Lv|S.H. Wu|
36 On Interior Estimates for Mean Curvature of Convex Surfaces in R^3 and Its Applications 期刊论文 Hong Jiaxing|
37 EXISTENCE OF ENTIRE SOLUTIONS TO THE MONGE-AMPERE EQUATION 期刊论文 Jian Huaiyu|Wang Xu-Jia|
38 SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN 期刊论文 Chen Hua|W.B Lv|S.H. Wu|
39 Optimal boundary regularity for nonlinear singular elliptic equations 期刊论文 Jian Huaiyu|Wang Xu-Jia|
40 Long-time behavior of solutions to the compressible liquid crystals (in Chinese) 期刊论文 Y.M. Chu|W. Ma|X.G. Liu|
41 THE EXISTENCE AND BLOW-UP CRITERION OF LIQUID CRYSTALS SYSTEM IN CRITICAL BESOV SPACE 期刊论文 Yi-hang Hao|Liu Xiangao|
42 Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities 期刊论文 Chen, Hua|Liu, Xiaochun|Wei, Yawei|
43 Global strong solutions of the 2D simplified Ericksen-Leslie system 期刊论文 H. Gong|J. Huang|L. Liu|X. Liu|
44 BERNSTEIN THEOREM AND REGULARITY FOR A CLASS OF MONGE-AMPERE EQUATIONS 期刊论文 Jian Huaiyu|Wang Xu-Jia|
45 SERRIN'S REGULARITY RESULTS FOR THE INCOMPRESSIBLE LIQUID CRYSTALS SYSTEM 期刊论文 Zhang X.T.|Wang K.|Min J.Z|Liu X.G|
46 A PERTURBATION APPROACH FOR THE TRANSVERSE SPECTRAL STABILITY OF SMALL PERIODIC TRAVELING WAVES OF THE ZK EQUATION 期刊论文 Chen, Hua|Wang, Ling-Jun|
47 L^p and Holder estiamtes for a class of degenerate elliptic partial differential equations and its applications 期刊论文 J.Hong|G.Huang|
48 TOPOLOGICAL DEGREE METHOD FOR THE ROTATIONALLY SYMMETRIC L-p-MINKOWSKI PROBLEM 期刊论文 Lu Jian|Jian Huaiyu|
49 Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity 期刊论文 Chen Hua|Peng Luo|Gongwei Liu|
50 On the regularity of solutions to FENE models 期刊论文 Hong Jiaxing|Yang Ge|
51 THE MOVING BOUNDARY PROBLEM IN A CHEMOTAXIS MODEL 期刊论文 Chen, Hua|Wu, Shaohua|
52 Existence and regularity of multiple solutions for infinitely degenerate nonlinear elliptic equations with singular potential 期刊论文 Chen Hua|Peng Luo|Shuying Tian|
53 Shape optimization in compressible liquid crystals 期刊论文 W. Ma|Y. Hao|X. Liu|
54 Nonuniqueness of solutions to the Lp-Minkowski problem 期刊论文 Jian Huaiyu|Lu Jian|Wang Xu-Jia|
55 Globally weak solutions to the flow of compressible liquid crystals system 期刊论文 X.Liu|Jie Qing|
56 Blow-up, Quenching, Aggregation and Collapse in a Chemotaxis Model with Reproduction Term 期刊论文 Li, Jun-feng|Chen, Hua|Liu, Wei-an|
57 Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term 期刊论文 Chen Hua|Luo Peng|Tian ShuYing|
58 Infinitely many solutions for the Schrodinger equations in R-N with critical growth 期刊论文 Chen Wenyi|WeiJuncheng|YanShusen|
59 ENDPOINT ESTIMATES FOR THE COMMUTATOR OF PSEUDO-DIFFERENTIAL OPERATORS 期刊论文 Jie Yang|Yuzhao Wang|Wenyi Chen|
60 On the regularity of solutions to FENE models 期刊论文 Hong Jiaxing|Yang Ge|
61 Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains 期刊论文 Jie Jiang|Hao Wu|Songmu Zheng|
62 THE EXISTENCE AND BLOW-UP CRITERION OF LIQUID CRYSTALS SYSTEM IN CRITICAL BESOV SPACE 期刊论文 Yi-hang Hao|Liu Xiangao|
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