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杨小龙
姓名:杨小龙
职称:讲师
办公室: 502
邮箱:xlyang@henu.edu.cn
研究方向:非线性泛函分析,非线性椭圆偏微分方程
教育背景:2012.09-2016.07,学士,河南理工大学,数学与应用数学
2016.09-2019.06, 硕士,华中师范大学,基础数学
2019.09-20123.06,博士,华中师范大学,数学
工作经历:2023.07-至今,BEVITOR伟德APP官网,讲师
研究领域:关于半线性椭圆方程(组)的解的存在性,以及渐进性的研究
代表性学术论文:
1. Xiao Luo, Juncheng Wei, Xiaolong Yang and Maoding Zhen, Normalized solutions for Schr¨odinger system with quadratic and cubic interactions. J. Differential Equations,314 (2022), 56-127.
2. Xiaolong Yang, Sign-changing multi-bump solutions for Choquard equation with deepening potential well.Topol. Methods Nonlinear Anal. 1 (2022), no. 1, 1–23.
3. Chuangye Liu and Xiaolong Yang, Existence of normalized solutions for semilinear elliptic systems with potential. J. Math. Phys., 63 (2022), no. 6, 061504, 21 pp.
4. Haixia Chen, Xiaolin Xu and Xiaolong Yang, Asymptotic behaviour of ground state solutions for the fractional H´enon equation. J. Math. Anal. Appl., 505 (2022), 125456, 20 pp.
5. Yinbin Deng, Wei Shuai and Xiaolong Yang, Sign-changing solutions for the
nonlinear Schr¨odinger-Poisson system with critical growth. Acta Math. Sci.
Ser. B (Engl. Ed.) accepted for publication. (2023)
6. Luigi Forcella, Xiao Luo, Tao Yang and Xiaolong Yang, Standing waves for
a Schr¨odinger system: interaction on the three waves. Submitted.
7. Wei Shuai and Xiaolong Yang, Normalized solutions for logarithmic Schr¨odinger
equation with a perturbation of power law nonlinearity.