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Nonlinear elliptic equations on the upper half space 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 01, 页码: 20
Authors:  Tang, Sufang;  Wang, Lei;  Zhu, Meijun
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Curvature equation  Kelvin transform  moving plane method  moving sphere method  
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
Authors:  Yan, Shusen;  Yu, Weilin
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The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
Authors:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
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Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
Periodic Solutions to Klein-Gordon Systems with Linear Couplings 期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
Authors:  Chen, Jianyi;  Zhang, Zhitao;  Chang, Guijuan;  Zhao, Jing
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Wave Equation  Variational Method  Klein-Gordon System  Periodic Solutions  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:  Wang, Li;  Yan, Zhenya
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Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 1, 页码: 24
Authors:  Peng, Bo;  Wang, Youde;  Wei, Guodong
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Gradient estimate  Ricci curvature  Nonlinear elliptic equation  
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
Authors:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
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Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials 期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
Authors:  Ma, Qiang;  Ye, Shuyu;  Cui, Junzhi;  Yang, Zhiqiang;  Jiang, Xue;  Li, Zhihui
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Hierarchically perforated structure  Successive two-scale asymptotic analysis  Neumann-type elliptic eigenvalue problem  Second-order two-scale and three-scale  asymptotic computations  Finite element simulation  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
Authors:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
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Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 4, 页码: 4965-4984
Authors:  Dong, Xiaojing;  Mao, Anmin
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quasilinear elliptic equation  perturbation method  genus theory