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Liouville-Type Theorems for Fractional and Higher-Order Henon-Hardy Type Equations via the Method of Scaling Spheres 期刊论文
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 页码: 70
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：90/0  |  提交时间：2022/06/21
Liouville type theorem for critical order Henon-Lane-Emden type equations on a half space and its applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 10, 页码: 37
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
Critical order  Henon-Lane-Emden type equations  Liouville theorems  A priori estimates  
Qualitative properties of singular solutions to fractional elliptic equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 页码: 36
作者:  Huang, Shuibo;  Zhang, Zhitao;  Liu, Zhisu
收藏  |  浏览/下载：110/0  |  提交时间：2022/06/21
Fractional elliptic equations  Moving spheres method  Blow-up analysis  Local behaviour  Singular solutions  
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
作者:  Gong, Wei;  Zhu, Shengfeng
收藏  |  浏览/下载：134/0  |  提交时间：2021/10/26
shape optimization  shape gradient  boundary formulation  boundary correction  a priori error estimate  finite element  
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
作者:  Dai, Wei;  Liu, Zhao;  Qin, Guolin
收藏  |  浏览/下载：126/0  |  提交时间：2021/10/26
higher-order fractional Laplacians  Schrodinger-Hartree-Maxwell equations  classification of nonnegative solutions  super poly-harmonic properties  nonlocal nonlinearities  the method of moving spheres  
Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 页码: 50
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：161/0  |  提交时间：2020/09/23
Uniformly elliptic nonlocal Bellman operator  Uniformly elliptic nonlocal Monge-Ampere operator  Maximum principles  Method of moving planes  Monotonicity  symmetry and uniqueness  Asymptotic properties  
Direct Methods for Pseudo-relativistic Schrodinger Operators 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 页码: 64
作者:  Dai, Wei;  Qin, Guolin;  Wu, Dan
收藏  |  浏览/下载：138/0  |  提交时间：2020/09/23
Pseudo-relativistic Schrodinger operators  Epigraph  3D boson star equations  Direct methods of moving planes  Direct sliding methods  
A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration 期刊论文
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2019, 卷号: 76, 页码: 235-246
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Ge, Jingran
收藏  |  浏览/下载：150/0  |  提交时间：2020/01/10
three-scale asymptotic homogenization  Viscoelastic problems  Laplace transform  
VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 4, 页码: 1745-1777
作者:  Jiang, Ruiqi;  Wang, Youde;  Yang, Jun
收藏  |  浏览/下载：169/0  |  提交时间：2019/03/05
Wave map equations  Schrodinger flows  Landau-Lifshitz equations  Vortices  
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 1, 页码: 129-157
作者:  Bian, Dong-fen;  Fan, Li-li;  He, Lin;  Zhao, Hui-jiang
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
compressible Navier-Stokes equations  inflow problem  viscous shock wave  large density oscillations