Department of Mathematics, University of British Columbia
Vancouver, British Columbia, V6T 1Z2, Canada ; Zhang, Lei(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Nondegeneracy of the Gauss curvature equation with negative conic singularity. (English summary)
Pacific J. Math. 297 (2018), no. 2, 455-475.
35J91 (35J75 58J05)
3749370
Lin, Chang-Shou(RC-NTAI) Department of Mathematics, National Taiwan University
Taipei 106, Taiwan (R.O.C.) ; Wei, Jun-cheng(3-BC)
Department of Mathematics, University of British Columbia
Vancouver, British Columbia, V6T 1Z2, Canada ; Yang, Wen(PRC-ASWH-PM)
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences (CAS)
Wuhan 430071, Hubei, Peoples Republic of China ; Zhang, Lei(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ;
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates. (English summary)
Anal. PDE 11 (2018), no. 4, 873-898.
58J47 (35J47 35J61)
3701958
Zhang, Lei(1-FL) Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Blowup solutions of elliptic systems in two dimensional spaces. (English summary)
Proceedings of the Sixth International Congress of Chinese Mathematicians. Vol. II, 617-624,
Adv. Lect. Math. (ALM), 37,
Int. Press, Somerville, MA, 2017.
35J47 (35B44 35J91 53C21)
3701958
Zhang, Lei(1-FL) Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Blowup solutions of elliptic systems in two dimensional spaces. (English summary)
Proceedings of the Sixth International Congress of Chinese Mathematicians. Vol. II, 617-624,
Adv. Lect. Math. (ALM), 37,
Int. Press, Somerville, MA, 2017.
35J47 (35B44 35J91 53C21)
3592753
Huang, Hsin-Yuan(RC-SYS) Department of Mathematics, National Sun Yat-Sen University
Kaohsiung, Taiwan (R.O.C.) ; Zhang, Lei(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611
The domain geometry and the bubbling phenomenon of rank two gauge theory. (English summary)
Comm. Math. Phys. 349 (2017), no. 1, 393-424.
58J05 (31C12 35J47 35J91)
3556433
Lin, Chang-Shou(RC-NTAI-M); Zhang, Lei(1-FL)
Energy concentration and a priori estimates for $B_2$ and $G_2$ types of Toda systems. (English summary)
Int. Math. Res. Not. IMRN 2016, no. 16, 5076-5105.
35J47 (35B44 35J61 35R01 37K30)
3519538
Lin, Chang-Shou(RC-NTAI-M); Wei, Juncheng(3-BC); Zhang, Lei(1-FL)
Local profile of fully bubbling solutions to ${\rm SU}(n+1)$ Toda systems. (English summary)
J. Eur. Math. Soc. (JEMS) 18 (2016), no. 8, 1707-1728.
35J47 (35B44 35B45)
3498172
Teixeira, Eduardo V.(BR-FCR); Zhang, Lei(1-FL)
Global Monge-Ampére equation with asymptotically periodic data. (English summary)
Indiana Univ. Math. J. 65 (2016), no. 2, 399-422.
35J96 (35B10)
3471973
Bao, Jiguang(PRC-BJN-MCS); Li, Haigang(PRC-BJN-MCS); Zhang, Lei(1-FL)
Global solutions and exterior Dirichlet problem for Monge-Ampère equation in $\Bbb{R}^2$. (English summary)
Differential Integral Equations 29 (2016), no. 5-6, 563-582.
35J96 (35J25)
3438386
Guo, Ying(1-FL); Zhang, Lei(1-FL)
Energy estimates for a class of semilinear elliptic equations on half Euclidean balls. (English summary)
Rev. Mat. Iberoam. 31 (2015), no. 4, 1141-1166.
35J91 (35B33 35B44 35B45 35J25)
3406524
Lin, Chang-Shou(RC-NTAI-IM); Wei, Juncheng(3-BC); Zhang, Lei(1-FL)
Convergence rate, location and $\partial_z^2$ condition for fully bubbling solutions to $SU(n+1)$ Toda systems. (English summary)
Adv. Math. 285 (2015), 1189-1224.
35J47 (35B40 35B44 35J50 35J91 35R01)
3379435
Gluck, Mathew R.(1-ALH); Zhang, Lei(1-FL)
Classification of solutions to a critically nonlinear system of elliptic equations on Euclidean half-space. (English summary)
J. Partial Differ. Equ. 28 (2015), no. 1, 74-94.
35J57 (35J66 35J91 35K51)
3366004
Lin, Chang-Shou(RC-NTAI-IM); Wei, Jun-cheng(3-BC); Zhang, Lei(1-FL)
Classification of blowup limits for $\rm SU(3)$ singular Toda systems. (English summary)
Anal. PDE 8 (2015), no. 4, 807-837.
35J47 (35A16 35B44 35B45 35J91)
3299174
Bao, Jiguang(PRC-BJN-MCS); Li, Haigang(PRC-BJN-MCS); Zhang, Lei(1-FL)
Monge-Ampère equation on exterior domains. (English summary)
Calc. Var. Partial Differential Equations 52 (2015), no. 1-2, 39-63.
35J96 (35B40 35J60 35J67)
3244356
Gluck, Mathew R.(1-FL); Guo, Ying(1-FL); Zhang, Lei(1-FL)
A Harnack-type inequality for a prescribed-curvature equation on a domain with boundary. (English summary)
Adv. Nonlinear Stud. 14 (2014), no. 3, 709-746.
35J66 (35B45 35B65 35J91)
3177651
Lin, Chang-Shou(RC-NTAI-CAT); Zhang, Lei(1-FL)
Classification of radial solutions to Liouville systems with singularities. (English summary)
Discrete Contin. Dyn. Syst. 34 (2014), no. 6, 2617–2637.
35J47 (35A01 35A02 35B07 35J75)
3041710
Lin, Chang-shou(RC-NTAI-CAT); Zhang, Lei(1-FL)
On Liouville systems at critical parameters, Part 1: One bubble. (English summary)
J. Funct. Anal. 264 (2013), no. 11, 2584–2636.
35R01 (35A16 35B44 35B45 35J47)
2949618
Teixeira, Eduardo V.(BR-FCR); Zhang, Lei(1-FL)
An elliptic variational problem involving level surface area on Riemannian manifolds. (English summary)
Rev. Mat. Iberoam. 28 (2012), no. 3, 759–772.
35R01 (35J20)
2880214
Wang, Xiaodong(1-MIS); Zhang, Lei(1-FL)
Local gradient estimate for $p$-harmonic functions on Riemannian manifolds. (English summary)
Comm. Anal. Geom. 19 (2011), no. 4, 759–771.
53Cxx (31C45 35J92 35R01)
2810841
Teixeira, Eduardo V.(BR-FCR); Zhang, Lei(1-FL)
A local parabolic monotonicity formula on Riemannian manifolds. (English summary)
J. Geom. Anal. 21 (2011), no. 3, 513–526.
35R35 (35K10 35R01 53Cxx)
2796516
Lin, Chang-Shou(RC-NTAI-IM); Zhang, Lei(1-FL)
A topological degree counting for some Liouville systems of mean field type. (English summary)
Comm. Pure Appl. Math. 64 (2011), no. 4, 556–590.
35R01 (35J57 35J91 47H11)
2737784
Teixeira, Eduardo V.(BR-FCR); Zhang, Lei(1-FL)
Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds. (English summary)
Adv. Math. 226 (2011), no. 2, 1259–1284.
58Jxx
2580507
Lin, Chang-Shou(RC-NTAI); Zhang, Lei(1-FL)
Profile of bubbling solutions to a Liouville system. (English, French summary)
Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 1, 117--143.
35J57 (35J91)
2557728
Weinstein, Gilbert(1-AL2); Zhang, Lei(1-FL)
The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds. (English summary)
J. Funct. Anal. 257 (2009), no. 12, 3895--3929.
53Cxx
2541413
Zhang, Lei(1-AL2)
A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity. (English summary)
J. Differential Equations 247 (2009), no. 5, 1334--1353.
35J91 (35B33 53C21)
2538204
Zhang, Lei(1-AL2)
Asymptotic behavior of blowup solutions for elliptic equations with exponential nonlinearity and singular data. (English summary)
Commun. Contemp. Math. 11 (2009), no. 3, 395--411.
35J60 (35B40 35B41)
2491888
Zhang, Lei(1-AL2)
Prescribing curvatures on three dimensional Riemannian manifolds with boundaries. (English summary)
Trans. Amer. Math. Soc. 361 (2009), no. 7, 3463--3481.
35J60 (53C21)
2317767
Zhang, Lei(1-FL)
Harnack type inequalities for conformal scalar curvature equation. (English summary)
Math. Ann. 339 (2007), no. 1, 195--220.
35J60 (53C21 58Jxx)
2309836
Li, Yan Yan(1-RTG); Zhang, Lei(1-FL)
Compactness of solutions to the Yamabe problem. III. (English summary)
J. Funct. Anal. 245 (2007), no. 2, 438--474.
53C21 (35J60)
2249797
Zhang, Lei(1-FL)
Blowup solutions of some nonlinear elliptic equations involving exponential nonlinearities. (English summary)
Comm. Math. Phys. 268 (2006), no. 1, 105--133.
35J60 (35B45)
2235880
Taliaferro, Steven D.(1-TXAM); Zhang, Lei(1-FL)
Asymptotic symmetries for conformal scalar curvature equations with
singularity.
(English. English summary)
Calc. Var. Partial Differential Equations 26 (2006), no. 4, 401--428.
35J60 (35A20 53Cxx)
2170531
Lucia, Marcello(1-RTG); Zhang, Lei(1-FL)
A priori estimates and uniqueness for some mean field equations.
(English. English summary)
J. Differential Equations 217 (2005), no. 1, 154--178.
35J60 (35B45)
2164927
Li, Yan Yan(1-RTG); Zhang, Lei(1-FL)
Compactness of solutions to the Yamabe problem. II.
Calc. Var. Partial Differential Equations 24 (2005), no. 2, 185--237.
53C21 (35J60)
2065376
(2005g:53060)
Li, Yan Yan(1-RTG); Zhang, Lei(1-TXAM)
Compactness of solutions to the Yamabe problem.
(English. English, French summary)
C. R. Math. Acad. Sci. Paris 338 (2004), no. 9, 693--695.
53C21 (35J60)
2057491
(2005f:53053)
Li, Yan Yan(1-RTG); Zhang, Lei(1-TXAM)
A Harnack type inequality for the Yamabe equation in low dimensions.
Calc. Var. Partial Differential Equations 20 (2004), no. 2, 133--151.
53C21 (35J60)
2001065
(2004i:35118)
Li, YanYan(1-RTG); Zhang, Lei(1-RTG)
Liouville-type theorems and Harnack-type inequalities for semilinear elliptic equations.
J. Anal. Math. 90 (2003), 27--87.
35J60 (35B33 35B40 35B45 35B65)
1974347
(2004j:35109)
Taliaferro, Steven D.(1-TXAM); Zhang, Lei(1-TXAM)
Arbitrarily large solutions of the conformal scalar curvature problem at an isolated singularity.
(English. English summary)
Proc. Amer. Math. Soc. 131 (2003), no. 9, 2895--2902 (electronic).
35J60 (53C21)
1971036
(2004c:53047)
Zhang, Lei(1-TXAM)
Classification of conformal metrics on $R\sp 2\sb +$ with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions.
Calc. Var. Partial Differential Equations 16 (2003), no. 4, 405--430.
53C21 (35J60)
1923411
(2003j:35113)
Zhang, Lei(1-TXAM)
Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method.
(English. English summary)
J. Funct. Anal. 192 (2002), no. 2, 491--516.
35J60 (35A25 35B05 35B45 35J65)
Last update made
Thu Feb 28 14:03:16 EST 2019