非线性椭圆和非线性抛物型方程

10631020
2006
A0304.椭圆与抛物型方程
洪家兴
重点项目
教授
复旦大学
140万元
Monge-Ampere;方程;Chemotaxis;非线;输运方程;薄膜方程
2007-01-01到2010-12-31
  • 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 A curve flow evolved by a fourth order parabolic equation 期刊论文 Jian HuaiYu|Liu YanNan|
2 Radial symmetry and uniqueness for positive solutions of a Schrodinger type system 期刊论文 Ma, Li|Chen, Dezhong|
3 Radial symmetry and monotonicity for an integral equation 期刊论文 Ma, Li|Chen, Dezhong|
4 Asymptotic behavior of positive solutions of some quasilinear elliptic problems 期刊论文 Ma, Li|Guo, Zongming|
5 Analytic smoothness effect of solutions for spatially homogeneous Landau equation 期刊论文 Li, Wei-Xi|Chen, Hua|Xu, Chao-Jiang|
6 New Monotonicity Formulae for Semi-linear Elliptic and Parabolic Systems 期刊论文 Song, Xianfa|Zhao, Lin|Ma, Li|
7 Uniform bound and a non-existence result for Lichnerowicz equation in the whole n-space 期刊论文 Ma, Li|Xu, Xingwang|
8 Long-time existence of mean curvature flow with external force fields 期刊论文 Liu, Ya-Nan|Jian, Huai-Yu|
9 GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION 期刊论文 Xu Chaojiang|Chen Hua|Li Weixi|
10 Curvature flow to the Nirenberg problem 期刊论文 Hong, Min-Chun|Ma, Li|
11 Q-curvature flow with indefinite nonlinearity 期刊论文 Ma, Li|Liu, B.|
12 UNIQUENESS OF POSITIVE BOUND STATES TO SCHRODINGER SYSTEMS WITH CRITICAL EXPONENTS 期刊论文 Li, Congming|Ma, Li|
13 Regularity of the p-harmonic maps with potential 期刊论文 Chu, Yu-Ming|Liu, Xian-Gao|
14 The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations 期刊论文 Chen, Hua|Li, Ke|
15 TRAVELING FRONTS OF CURVE FLOW WITH EXTERNAL FORCE FIELD 期刊论文 Ju, Hongjie|Jian, Huaiyu|Sun, Wei|
16 Blow up of solutions to the nonlinear Schrodinger equations on manifolds 期刊论文 Ma, Li|Zhao, Lin|
17 The Dirichlet problem of the quantum drift-diffusion model 期刊论文 Chen, Li|Jian, Huaiyu|Chen, Xiuqing|
18 Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model 期刊论文 Jian, Huaiyu|Chen, Xiuqing|Chen, Li|
19 Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system 期刊论文 Zhao, Lin|Ma, Li|
20 Classification of Positive Solitary Solutions of the Nonlinear Choquard Equation 期刊论文 Zhao, Lin|Ma, Li|
21 Existence of Global Smooth solutions to Dirichlet problem for Degenerate Elliptic Monge-Ampere equations 期刊论文 Hong, J.X. Huang, G.G., Wang, W.Y.|
22 Finite Morse index steady states of van der Waals force driven thin film equations 期刊论文 Ma, Li|Guo, Zongming|
23 Symmetry results for classical solutions of Monge-Ampere systems on bounded planar domains 期刊论文 Ma, Li|Liu, Baiyu|
24 Liouville type theorem and uniform bound for the Lichnerowicz equation and the Ginzburg–Landau equation 期刊论文 Ma, Li|
25 The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model 期刊论文 Jian, Huaiyu|Chen, Li|Chen, Xiuqing|
26 Inhomogeneous Problem for the Ginzburg-Landau Equation on Two Dimensional Compact Manifolds 期刊论文 Ma, Li|Wang, Jing|
27 CONVERGENCE TO EQUILIBRIUM FOR PARABOLIC-HYPERBOLIC TIME-DEPENDENT GINZBURG-LANDAU-MAXWELL EQUATIONS 期刊论文 Wu, Hao|Grasselli, Maurizio|Zheng, Songmu|
28 Eigenvalues and lambda constants on Riemannian submersions 期刊论文 Ma, Li|Zhu, Anqiang|
29 Non-local heat flows and gradient estimates on closed manifolds 期刊论文 Cheng, Liang|Ma, Li|
30 Uniqueness of ground states of some coupled nonlinear Schrodinger systems and their application 期刊论文 Zhao, Lin|Ma, Li|
31 Symmetry results for decay solutions of elliptic systems in the whole space 期刊论文 Ma, Li|Liu, Baiyu|
32 INEQUALITIES OF EIGENVALUES FOR BI-KOHN LAPLACIAN ON HEISENBERG GROUP 期刊论文 Chen Wenyi|Huang Guangyue|
33 the local and global existence of the solutions of hyperbolic-parabolic system modeling biological phenomena 期刊论文 Chen, H; Wu, S.H., Li, WX,|
34 Global attractor for the 1-D thin film equation 期刊论文 Wu, Hao|Zheng, Songmu|
35 Uniqueness for the solution of semi-linear elliptic Neumann problems in R-3 期刊论文 Chen, Wenyi|Huang, Guangyue|
36 Curve shortening in a Riemannian manifold 期刊论文 Chen, Dezhong|Ma, Li|
37 Properties of positive solutions to an elliptic equation with negative exponent 期刊论文 Wei, J. C.|Ma, Li|
38 Evolution of hypersurfaces by the mean curvature minus an external force field 期刊论文 Liu, Yan-nan|Jian, Huai-yu|
39 On energy stability for the coupled nonlinear Schrodinger system 期刊论文 Ma, Li|Zhao, Lin|
40 Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains 期刊论文 Huang, Yong|Jian, Huai Yu|Su, Ning|
41 Gradient estimate for the degenerate parabolic equation u(t)=Delta F(u)+H(u) on manifolds 期刊论文 Ma, Li|Zhao, Lin|Song, Xianfa|
42 Monotone solutions to a class of elliptic and diffusion equations 期刊论文 Li, Chong|Ma, Li|Zhao, Lin|
43 Nonsingular Ricci flow on a noncompact manifold in dimension three 期刊论文 Zhu, Anqiang|Ma, Li|
44 Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians 期刊论文 Ma, Li|Du, Sheng-Hua|
45 Convergence to equilibrium for a parabolic-hyperbolic phase-field system with dynamical boundary condition 期刊论文 Grasselli, Maurizio|Wu, Hao|Zheng, Songmu|
46 Regularity for positive weak solutions to semi-linear elliptic equations 期刊论文 Zhao, Lin|Ma, Li|
47 Global existence and asymptotic behavior for a semiconductor drift-diffusion-poisson model 期刊论文 Wu, Hao|Markowich, Peter A.|Zheng, Songmu|
48 Blow-up criterion for 2-D boussinesq equations in bounded domain 期刊论文 Jian,HY, Hu, L|
49 PROPAGATION OF GEVREY REGULARITY FOR SOLUTIONS OF LANDAU EQUATIONS 期刊论文 Xu, Chao-Jiang|Li, Wei-Xi|Chen, Hua|
50 A squeeze flow problem with a Navier slip condition 期刊论文 Gilbert, Robert P.|Liu, Xian-Gao|Fang, Ming|
51 ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRODINGER SYSTEM 期刊论文 Zhao, Lin|Song, Xianfa|Ma, Li|
52 Continuity estimates for the Monge-Ampere equation 期刊论文 Jian, Huai-Yu|Wang, Xu-Jia|
53 On energy stability for the coupled nonlinear wave and Schrodinger systems 期刊论文 Liu, Haihong|Ma, Li|
54 液晶系统流问题的存在性 期刊论文 刘宪高,张振羽|
55 UNIVERSAL BOUNDS FOR EIGENVALUES OF LAPLACIAN OPERATOR OF ANY ORDER 期刊论文 Huang Guangyue|Chen Wenyi|
56 SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS 期刊论文 He Zhenya|Chen Hua|
57 THREE REMARKS ON MEAN FIELD EQUATIONS 期刊论文 Ma, Li|
58 关于可压液晶组能量有界性 期刊论文 马文雅, 刘宪高|
59 TRANSLATING SOLUTIONS TO MEAN CURVATURE FLOW WITH A FORCING TERM IN MINKOWSKI SPACE 期刊论文 Ju, Hongjie|Lu, Jian|Jian, Huaiyu|
60 PROPERTIES OF TRANSLATING SOLUTIONS TO MEAN CURVATURE FLOW 期刊论文 Ju, Hongjie|Jian, Huaiyu|Gui, Changfeng|
61 Optimal $L_p$ Riemannian Gagliardo-Nirenberg inequalities, 期刊论文 Sun, Xiaomei, Chen, WY|
62 UNIQUENESS FOR THE BREZIS-NIRENBERG PROBLEM ON COMPACT EINSTEIN MANIFOLDS 期刊论文 Huang, Guangyue|Chen, Wenyi|
63 GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS 期刊论文 Chen Wenyi|Chen Li|
64 Stability for the time-dependent Hartree equation with positive energy 期刊论文 Ma, Li|Zhao, Lin|
65 Convergence to equilibrium for a parabolic-hyperbolic phase-field system with neumann boundary conditions 期刊论文 Zheng, Songmu|Grasselli, Maurizio|Wu, Hao|
66 Mass under the Ricci flow 期刊论文 Dai, Xianzhe|Ma, Li|
67 Chern-Simons invariants and isometric immersions of warped products 期刊论文 Ma, Li|Zhou, Jie|
68 The Gevrey hypoellipticity for a class of kinetic equations 期刊论文 Chen, H, Li, WX, Xu, C.J.|
69 THE LANDAU-LIFSHITZ- MAXWELL EQUATION IN DIMENSION THREE 期刊论文 Ding, Shijin|Wang, Changyou|Liu, Xiangao|
70 CONVEX EIGENFUNCTION OF A DRIFTING LAPLACIAN OPERATOR AND THE FUNDAMENTAL GAP 期刊论文 Liu, Baiyu|Ma, Li|
71 Inhomogeneous boundary value problem for Hartree-type equation 期刊论文 Cao, Pei|Ma, Li|
72 REMARKS ON COMPLETE NON-COMPACT GRADIENT RICCI EXPANDING SOLITONS 期刊论文 Ma, Li|Chen, Dezhong|
73 Evolution of Spacelike Hypersurfaces by Mean Curvature Minus External Force Field in Minkowski Space 期刊论文 Liu, Yannan|Jian, Huaiyu|
74 On the conditions to control curvature tensors of Ricci flow 期刊论文 Ma, Li|Cheng, Liang|
75 ASYMPTOTIC BEHAVIOR OF A NONISOTHERMAL GINZBURG-LANDAU MODEL 期刊论文 Grasselli, Maurizio|Wu, Hao|Zheng, Songmu|
76 The regularity of a class of degenerate elliptic Monge-Ampère equations 期刊论文 Hong, J.X. Wang, W.Y.|
77 Partial regularity of weak solutions for Landau-Lifshitz system with potential 期刊论文 Chu YuMing|Liu XianGao|
78 Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations 期刊论文 Xu, Chao-Jiang|Chen, Hua|Li, Wei-Xi|
79 On existence of solutions for some hyperbolic-parabolic-type chemotaxis systems 期刊论文 Chen, Hua|Wu, Shaohua|
80 Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds 期刊论文 Chen, Li|Chen, Wenyi|
81 Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents 期刊论文 Chen,H, Liu, XC, Wei, YW,|
82 SYMMETRY OF TRANSLATING SOLUTIONS TO MEAN CURVATURE FLOWS 期刊论文 Jian Huaiyu|Liu Yannan|Ju Hongjie|Sun Wei|
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