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Divergent operator with degeneracy and related sharp inequalities 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 282, 期号: 2, 页码: 85
作者:  Dou, Jingbo;  Sun, Liming;  Wang, Lei;  Zhu, Meijun
收藏  |  浏览/下载：153/0  |  提交时间：2022/04/02
Divergent operator  Sharp weighted Sobolev inequality  Baouendi-Grushin operator  Moving sphere method  
On the regularity of the maximal function of a BV function 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 300, 页码: 53-79
作者:  Lahti, Panu
收藏  |  浏览/下载：127/0  |  提交时间：2022/04/02
Function of bounded variation  Sobolev function  Non-centered maximal function  Quasicontinuity  Absolute continuity  
Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 277, 页码: 57-113
作者:  Mei, Ming;  Wu, Xiaochun;  Zhang, Yongqian
收藏  |  浏览/下载：147/0  |  提交时间：2021/04/26
3-Dimensional hydrodynamic model  Euler-Poisson equations  Subsonic steady-state  Asymptotic stability  Radial solutions  Weighted Sobolev spaces  
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
作者:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
收藏  |  浏览/下载：204/0  |  提交时间：2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
作者:  Brue, Elia;  Quoc-Hung Nguyen
收藏  |  浏览/下载：154/0  |  提交时间：2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture  
Higher-order geometric flow of hypersurfaces in a Riemannian manifold 期刊论文
INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 卷号: 30, 期号: 13, 页码: 47
作者:  Jia, Zonglin;  Wang, Youde
收藏  |  浏览/下载：164/0  |  提交时间：2020/05/24
Universal interpolation inequality  gradient flow  Sobolev inequality on submanifold  
Properties of G-martingales with finite variation and the application to G-Sobolev spaces 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 6, 页码: 2066-2085
作者:  Song, Yongsheng
收藏  |  浏览/下载：216/0  |  提交时间：2020/01/10
G-martingales with finite variation  Generalized G-ito processes  Unique decomposition  G-Sobolev spaces  
The Ito SDEs and Fokker-Planck equations with Osgood and Sobolev coefficients 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 3, 页码: 379-410
作者:  Luo, Dejun
收藏  |  浏览/下载：209/0  |  提交时间：2018/07/30
Stochastic differential equation  Osgood and Sobolev condition  DiPerna-Lions theory  Fokker-Planck equation  stochastic flow  
A new characterization of quadratic transportation-information inequalities 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2017, 卷号: 168, 期号: 3-4, 页码: 675-689
作者:  Liu, Yuan
收藏  |  浏览/下载：169/0  |  提交时间：2018/07/30
Transportation-information inequality  Talagrand's inequality  Log-Sobolev inequality  Lyapunov condition  Transference principle  
Logarithmic Sobolev, isoperimetry and transport inequalities on graphs 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 卷号: 32, 期号: 10, 页码: 1221-1236
作者:  Ma, Yu Tao;  Wang, Ran;  Wu, Li Ming
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Graph  log-Sobolev inequality  isoperimetry  transport inequality