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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:109/0  |  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  
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:179/0  |  提交时间:2018/07/30
Stochastic differential equation  Osgood and Sobolev condition  DiPerna-Lions theory  Fokker-Planck equation  stochastic flow  
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 卷号: 114, 页码: 25-36
作者:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2009, 卷号: 29, 期号: 2, 页码: 409-414
作者:  Huang Feimin
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
Hermite elliptic equation  modified Sobolev space  eigenvalue problem  
A note on the illposedness for anisotropic nonlinear Schrodinger equation 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 卷号: 24, 期号: 6, 页码: 891-900
作者:  Zhang, Xiao Yi
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
anisotropic Schrodinger equation  anisotropic Sobolev space  illposedness  
Multiplicity of solutions for some elliptic equations involving critical and supercritical Sobolev exponents 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2006, 卷号: 28, 期号: 2, 页码: 235-261
作者:  Li, Shujie;  Liu, Zhaoli
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
nonlinear elliptic equation  Sobolev exponent  multiple solutions  
Solutions to critical elliptic equations with multi-singular inverse square potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 224, 期号: 2, 页码: 332-372
作者:  Cao, DM;  Han, PG
收藏  |  浏览/下载:164/0  |  提交时间:2018/07/30
semilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent  
Quasilinear elliptic problems with critical exponents and Hardy terms 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 卷号: 61, 期号: 5, 页码: 735-758
作者:  Han, P
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
quasilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent  
Positive solutions for some singular critical growth nonlinear elliptic equations 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 卷号: 60, 期号: 3, 页码: 589-609
作者:  Cao, DM;  He, XM;  Peng, SJ
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
positive solutions  compactness  critical Sobolev exponents  hardy inequality  singular elliptic equation  
Solutions for semilinear elliptic equations with critical exponents and Hardy potential 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 205, 期号: 2, 页码: 521-537
作者:  Cao, DM;  Han, PG
收藏  |  浏览/下载:150/0  |  提交时间:2018/07/30
semilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent