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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:202/0  |  提交时间:2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
MODIFIED POISSON-NERNST-PLANCK MODEL WITH ACCURATE COULOMB CORRELATION IN VARIABLE MEDIA 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 1, 页码: 226-245
作者:  Liu, Pei;  Ji, Xia;  Xu, Zhenli
收藏  |  浏览/下载:209/0  |  提交时间:2018/07/30
charge transport  ion correlation  continuum theory for electrostatics  asymptotic expansion  Green's function  Poisson-Nernst-Planck equations  
Two-scale finite element Green's function approximations with applications to electrostatic potential computation 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 卷号: 23, 期号: 1, 页码: 177-193
作者:  Yang, Ying;  Zhou, Aihui
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Error analysis  finite element  Green's function  Poisson-Boltzmann equation  two-scale  
A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 225, 期号: 1, 页码: 202-212
作者:  Yang, Ying;  Zhou, Aihui
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Finite element  Green's function  Recovery approach  Three dimensions  Electrostatic potential  Poisson-Boltzmann equation  
Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure 期刊论文
APPLICABLE ANALYSIS, 2008, 卷号: 87, 期号: 3, 页码: 363-376
作者:  Liu, Zhaoxia;  Han, Pigong
收藏  |  浏览/下载:138/0  |  提交时间:2018/07/30
Hamiltonian systems  Green's function  asymptotic behaviour  ground state  
Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents 期刊论文
APPLICABLE ANALYSIS, 2007, 卷号: 86, 期号: 1, 页码: 67-82
作者:  Liu, Z.;  Han, P.
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
elliptic system  green's function  asymptotic behavior  critical exponent  
Finite element approximations of Green function G(x0)(epsilon) based on the method of multiscale asymptotic expansions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 174, 期号: 1, 页码: 199-222
作者:  He, WM;  Lin, CS;  Cui, JZ
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
finite element algorithm  Green function  the method of multiscale asymptotic expansions  pointwise error estimate  
A pointwise estimate on the 1-order approximation of G(x0)(epsilon) 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2005, 卷号: 70, 期号: 2, 页码: 241-269
作者:  He, WM;  Cui, JZ
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
small periodic configurations  Green function  pointwise error estimate  
Positive solution for m-point boundary value problems 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 卷号: 303, 期号: 2, 页码: 565-575
作者:  Cheung, WS;  Ren, J
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
m-point boundary value problems  Green's function  operator  cone  
Preconditioning the Poincare-Steklov operator by using Green's function 期刊论文
MATHEMATICS OF COMPUTATION, 1997, 卷号: 66, 期号: 217, 页码: 125-138
作者:  Xu, JC;  Zhang, S
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
domain decomposition  preconditioner  Schur complement  Green's function  multigrid  Poincare-Steklov operator