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Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2022, 卷号: 22, 期号: 1, 页码: 248-272
Authors:  Ding, Yanheng;  Yu, Yuanyang;  Dong, Xiaojing
Favorite  |  View/Download:18/0  |  Submit date:2023/02/07
Dirac-Klein-Gordon system  semi-classical states  multiplicity  subcritical and critical nonlinearities  
Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 28
Authors:  Dong, Xiaojing;  Mao, Anmin
Favorite  |  View/Download:62/0  |  Submit date:2022/04/02
quasilinear problem  nonlocal term  sign-changing solutions  genus theory  
ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 9, 页码: 4105-4123
Authors:  Ding, Yanheng;  Dong, Xiaojing;  Guo, Qi
Favorite  |  View/Download:80/0  |  Submit date:2022/04/02
Nonlinear Dirac equation  Semi-classical solutions  Multiplicity  Variational methods  subcritical and critical nonlinearity  
Infinitely many solutions of Dirac equations with concave and convex nonlinearities 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 卷号: 72, 期号: 1, 页码: 17
Authors:  Ding, Yanheng;  Dong, Xiaojing
Favorite  |  View/Download:84/0  |  Submit date:2021/04/26
Dirac equation  Generalized dual fountain theorem  Concave and convex nonlinearities  Non-periodic potential  
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
Favorite  |  View/Download:78/0  |  Submit date:2022/04/02
quasilinear elliptic equation  perturbation method  genus theory  
High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales 期刊论文
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2019, 卷号: 169, 页码: 95-121
Authors:  Dong, Hao;  Zheng, Xiaojing;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zhiqiang;  Yang, Zihao
Favorite  |  View/Download:121/0  |  Submit date:2020/01/10
Multiscale asymptotic analysis  Dynamic thermo-mechanical problems  Micro-meso-macro HOTS solutions  HOTS numerical algorithm  Multiple spatial scales  
Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 354, 页码: 143-180
Authors:  Dong, Hao;  Zheng, Xiaojing;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zhiqiang;  Ma, Qiang
Favorite  |  View/Download:118/0  |  Submit date:2020/01/10
Multi-scale asymptotic analysis  Dynamic thermo-mechanical performance  Heterogeneous shell structures  Orthogonal periodic configurations  SOTS numerical algorithm  
Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1630-1666
Authors:  Dong, Hao;  Zheng, Xiaojing;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zhiqiang;  Yang, Zihao
Favorite  |  View/Download:121/0  |  Submit date:2020/01/10
Dynamic thermo-mechanical problems  Multiscale asymptotic analysis  Diverse periodic configurations  Error estimate  SOTS numerical algorithm