Huang, Xia ( 黄 侠 )
| Title: | Associate Professor |
|---|---|
| Department: | Applied Mathematics |
| Office: | Room 321, Stat Building |
| Telephone: | 54342646-721 |
| Email: | xhuang@cpde.ecnu.edu.cn |
| Homepage2: | https://faculty.ecnu.edu.cn/_s42/hx2/main.psp |
Research Interest
Nonlinear Partial Differntial Equation
Resume
Selected Publications
Recent Publications(From MathSciNet)
MR5009576
Reviewed
Huang, Xia; Zhao, Chun-yi Stability of semilinear elliptic equations with Hénon type weighted exponential nonlinearity in hyperbolic space.
Acta Math. Appl. Sin. Engl. Ser. 42 (2026), no. 1, 95–104. (Reviewer: Salvador Villegas) 35J60 (35B35)
Publication Year 2026
Indexed 2026-02-19
Review Published2026-06-02
MR4953185
Reviewed
Huang, Xia; Li, Yuan; Yang, Hui Super polyharmonic property and asymptotic behavior of solutions to the higher order Hardy-Hénon equation near isolated singularities.
J. Geom. Anal. 35 (2025), no. 11, Paper No. 333, 33 pp. 35B40 (31B30 35B65)
Publication Year 2025
Indexed 2025-10-23
Review Published2025-11-03
MR4900339
Reviewed
Huang, Xia; Ye, Dong On sharp anisotropic Hardy inequalities.
Int. Math. Res. Not. IMRN 2025, no. 9, Paper No. rnaf110, 16 pp. 42B37 (26D15 35A23)
Publication Year 2025
Indexed 2025-06-12
Review Published2025-07-07
MR4856179
Reviewed
Huang, Xia; Li, Yuan; Zhou, Xianmei Symmetry of positive solutions to biharmonic Lane-Emden equation with singular set.
Calc. Var. Partial Differential Equations 64 (2025), no. 2, Paper No. 67, 26 pp. (Reviewer: Qianqiao Guo) 35J91 (35B09 35D30 45E10 45G05)
Publication Year 2025
Indexed 2025-03-31
Review Published2025-10-17
MR4680228
Reviewed
Huang, Xia; Ye, Dong One-dimensional sharp discrete Hardy-Rellich inequalities.
J. Lond. Math. Soc. (2) 109 (2024), no. 1, Paper No. e12838, 26 pp. (Reviewer: Dinesh Kumar) 26D10 (35A23)
Publication Year 2024
Indexed 2024-02-23
Review Published2024-06-03
MR4498946
Reviewed
Huang, Xia; Ye, Dong First order Hardy inequalities revisited.
Commun. Math. Res. 38 (2022), no. 4, 535–559. 26D10 (35A23 46E35)
Publication Year 2022
Indexed 2023-01-04
Review Published2023-03-02
MR4356992
Reviewed
Guo, Zongming; Huang, Xia; Ye, Dong; Zhou, Feng Qualitative properties of Hénon type equations with exponential nonlinearity.
Nonlinearity 35 (2022), no. 1, 492–512. 35J91 (35B40 35B53)
Publication Year 2022
Indexed 2022-02-17
Review Published2022-03-01
MR4118497
Reviewed
Guo, Zongming; Huang, Xia; Ye, Dong Existence and nonexistence results for a weighted elliptic equation in exterior domains.
Z. Angew. Math. Phys. 71 (2020), no. 4, Paper No. 116, 9 pp. 35J61 (35A01 35A02 35B09 35B33 35J25 35J70)
Publication Year 2020
Indexed 2020-09-14
Review Published2020-10-07
MR4112032
Reviewed
Huang, Xia; Wang, Liping Classification to the positive radial solutions with weighted biharmonic equation.
Discrete Contin. Dyn. Syst. 40 (2020), no. 8, 4821–4837. 35J30 (35B07 35B45 35J61 35J75)
Publication Year 2020
Indexed 2020-08-31
Review Published2020-10-01
MR4095473
Reviewed
Chen, Huyuan; Huang, Xia; Zhou, Feng Fast and slow decaying solutions of Lane-Emden equations involving nonhomogeneous potential.
Adv. Nonlinear Stud. 20 (2020), no. 2, 339–359. 35J91 (35B44)
Publication Year 2020
Indexed 2020-07-06
Review Published2020-07-24
MR4094467
Reviewed
Guo, Zongming; Huang, Xia; Wang, Liping; Wei, Juncheng On Delaunay solutions of a biharmonic elliptic equation with critical exponent.
J. Anal. Math. 140 (2020), no. 1, 371–394. (Reviewer: Yoshitsugu Kabeya) 35J30 (35B33 35J91)
Publication Year 2020
Indexed 2020-07-06
Review Published2020-12-02
MR3806891
Reviewed
Huang, Xia; Ye, Dong; Zhou, Feng Stability for entire radial solutions to the biharmonic equation with negative exponents.
C. R. Math. Acad. Sci. Paris 356 (2018), no. 6, 632–636. 35J30 (34D20 35B08 35B35 35J91)
Publication Year 2018
Indexed 2018-07-31
Review Published2018-08-10
MR3460221
Reviewed
Huang, Xia; Ye, Dong Existence of stable solutions to $(-\Delta)^mu=e^u$ in $\Bbb{R}^N$ with $m\geq 3$ and $N>2m$.
J. Differential Equations 260 (2016), no. 8, 6493–6503. 35J30 (35B08 35B35 35J91)
Publication Year 2016
Indexed 2016-05-11
Review Published2017-03-16
MR3426080
Reviewed
Huang, Xia; Ye, Dong Conformal metrics in $\Bbb{R}^{2m}$ with constant $Q$-curvature and arbitrary volume.
Calc. Var. Partial Differential Equations 54 (2015), no. 4, 3373–3384. (Reviewer: Xingwang Xu) 53A30 (35B07 35J30 35J91)
Publication Year 2015
Indexed 2016-02-19
Review Published2016-07-21
MR3315584
Reviewed
Guo, Zongming; Huang, Xia; Zhou, Feng Radial symmetry of entire solutions of a bi-harmonic equation with exponential nonlinearity.
J. Funct. Anal. 268 (2015), no. 7, 1972–2004. 35J30 (35B07 35B08 35J91)
Publication Year 2015
Indexed 2015-04-20
Review Published2016-02-17
MR3082562
Reviewed
Huang, Xia Stable weak solutions of weighted nonlinear elliptic equations.
Commun. Pure Appl. Anal. 13 (2014), no. 1, 293–305. 35J62 (35A01 35B53 35D30 35J70 35J75)
Publication Year 2014
Indexed 2013-10-30
Review Published2014-01-08

