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胡奕辰,助理教授。2024年6月,博士毕业于清华大学;2019年6月本科毕业于大连理工大学。主要从事偏微分方程的研究,研究兴趣包括:Hénon方程、曲率方程和Lane-Emden系统等。围绕这些问题已在 Calc. Var. Partial Differential Equations、J. Differential Equations、J. Geom. Anal. 、Adv. Nonlinear Anal.、Ann. Mat. Pura Appl. (4)等杂志上发表论文12篇。
主要代表论文:
1. Gao, Yuan; Guo, Yuxia; Hu, Yichen; Non-degeneracy of O(3) invariant solutions for higher order prescribed curvature problem and applications.(English summary) J. Geom. Anal.34(2024), no.7, Paper No. 217, 52 pp.
2. Guo, Yuxia; Hu, Yichen; Peng, Shaolong; Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation.(English summary) Calc. Var. Partial Differential Equations63(2024), no.4, Paper No. 98, 45 pp.
3. Guo, Yuxia; Hu, Yichen; Infinitely many solutions for Hamiltonian system with critical growth.(English summary) Adv. Nonlinear Anal.13(2024), no.1, Paper No. 20230134, 31 pp.
4. Guo, Yuxia; Hu, Yichen; Peng, Shaolong; Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system.(English summary) J. Differential Equations391(2024), 105–166.
5. Guo, Yuxia; Hu, Yichen; Liu, Ting; Non-degeneracy of the bubble solutions for the Hénon equation and applications.(English summary) Ann. Mat. Pura Appl. (4)202(2023), no.1, 15–58.
6. Guo, Yuxia; Hu, Yichen; Liu, Ting; Non-radial solutions for the fractional Hénon equation with critical exponent.(English summary) Calc. Var. Partial Differential Equations61(2022), no.5, Paper No. 172, 29 pp.