Selected Publications
Citations in the American Mathematical Society MathSciNet
Citations in the American Mathematical Society MathSciNet (access from outside of ECNU):
http://www.ams.org/mathscinet/mrcit/individual.html?mrauthid=236649
[63] Existence of surface smectic states of liquid crystals, submitted, https://arxiv.org/submit/1486478
(with A. Kachmar and S. Fournais)
[62] Mixed normal-superconducting
states in the presence of strong electric currents, submitted (with Y. Almog and B. Helffer)
[61] Regularity of weak solutions
to nonlinear Maxwell systems, J. Math. Phys., 56 (2015), 071508.
[60] A brief introduction on some mathematical
problems of surface superconductivity (关于表面超导的若干数学问题), Sciencepaper Online中国科技论文在线,[2015-03-03]. http://www.paper.edu.cn/releasepaper/content/201503-2.
[59] Partial Sobolev
spaces and anisotropic smectic liquid crystals, Calculus
of Variations and PDEs, 51 (2014), 963-998.
[58] An
extended magnetostatic Born-Infeld
model with a concave lower order term, J. Math. Phys., 54 (2013), 111501 (with
Jun Chen)
[57] Functionals with operator curl in an extended magnetostatic Born-Infeld model, SIAM
J. Math. Anal., 45 (4) (2013), 2253-2284. (with Jun
Chen)
[56] Superconductivity
near the normal state in a half-plane under the action of a perpendicular
electric current and an induced magnetic field, Transactions of Amer. Math.
Soc., 365(3) (2013), 1183-1217. (with Yaniv Almog and Bernard Helffer)
[55] Phase
transition for potential with higher dimensional wells, Communications on Pure
and Applied Mathematics, 65 (6)(2012), 833-888, (with Fanghua Lin and Changyou
Wang)
[54] Superconductivity
near the normal state in a half-plane under the action of a perpendicular
electric current and an induced magnetic field, part II :
the large conductivity limit, SIAM J. Math. Anal., 44(6) (2012), 3671-3733. (with Yaniv Almog
and Bernard Helffer)
[53] On
a quasilinear system arising in the theory of superconductivity, Proc. Royal
Soc. Edinburgh, vol. 141 A (2011), 397-407, (with Gary Lieberman)
[52] Asymptotics of solutions of a quasilinear system involving
curl, J. Math. Phys., vol. 52 (2011), article no. 023517, 34pp.
[51] Superconductivity
near the normal state under the action of electric currents and induced
magnetic fields in R^2, Comm. Math. Phys., vol. 300, no.1 (2010), 147-184. (with Yaniv Almog
and Bernard Helffer)
[50] A
Note on best Sobolev and relative iso-perimetric
constants and Neumann problems in exterior domains (关于最佳索伯列夫常数和相对等周常数及外区域纽曼问题的注), Sciencepaper
Online 中国科技论文在线 [2010-02-17].
http://www.paper.edu.cn/releasepaper/content/201002-495(with Xuefeng Wang).
[49] Remarks on nodal sets of
equations with magnetic Schrodinger operators (含有磁Schrodinger算子的偏微分方程复值解的零点集), Sciencepaper Online中国科技论文在线 [2010-03-01].
http://www.paper.edu.cn/releasepaper/content/201003-17.
[48] Minimizing
Curl in a multiconnected Domain, J. Math. Phys., vol.
50, no. 3, (2009), art. no. 033508.
[47] On
a quasilinear system involving the operator Curl, Calculus of Variations and
PDE, vol. 36, no. 3 (2009), 317-342.
[46] An
eigenvalue variation problem of magnetic Schrodinger operator in
three-dimensions, Disc. Contin. Dyn.
Systems, special issue for Peter Bates’ 60th birthday, vol. 24, no. 3 (2009),
933-978.
[45] A
three-stage operator-splitting/ finite element method for the numerical
simulation of liquid crystal flow, International Journal of Numerical Analysis
and Modeling, vol. 6, no. 3 (2009), 440-454. (with R.Glowinski and P. Lin)
[44] Nucleation
of instability of Meissner state of superconductors and related mathematical
problems, in: B. J. Bian, S. H. Li and X. J. Wang
eds., Trends in Partial Differential Equations, for Prof Guangchang
Dong’s 80th birthday, “Advanced Lectures in Mathematics”, ALM10, pp.323-372,
Higher Education Press and International Press, Beijing-Boston, 2009.
[43] Reduced
Landau-de Gennes functional and surface smectic state of liquid crystals, Journal of Functional
Analysis, vol. 255, no. 11 (2008), 3008-3069. (with B.
Helffer)
[42] Critical
elastic coefficient of liquid crystals and hysteresis, Comm. Math. Phys., vol.
280, no.1, (2008), 77-121.
[41] Nucleation
of instability in Meissner state of 3-dimensional superconductors, Comm. Math.
Phys., vol. 276, no. 3, (2007), 571-610. (with P.
Bates)
[40] Analogies
between superconductors and liquid crystals: nucleation and critical fields,
in: Asymptotic Analysis and Singularities, Advanced Studies in Pure
Mathematics, Mathematical Society of Japan, Tokyo, vol.47-2 (2007); pp.
479-517.
[39] Nodal
set of solutions of equations involving magnetic Schrodinger operator in three
dimensions, J. Math. Phys., vol. 48, no. 5, (2007), article number 053521.
[38] Magnetic
field-induced instabilities in liquid crystals, SIAM J. Math. Anal., vol. 38,
no. 5 (2007), 1588-1612, (with F. H. Lin)
[37] Landau-de
Gennes model of liquid crystals with small Ginzburg-Landau parameter, SIAM J. Math. Anal., vol.37,
no.5 (2006), 1616-1648.
[36] Multiple
states and hysteresis for type I superconductors, J. Math. Phys.,vol.46, no.7 (2005), Article no. 073301. (with Yihong Du).
[35] Surface
superconductivity in 3-dimensions, Trans. Amer. Math. Soc., vol. 356 (10)
(2004), 3899-3937.
[34] Landau-de
Gennes model of liquid crystals and critical wave
number, Comm. Math. Phys., vol. 239 (1-2) (2003), 343-382.
[33] Superconductivity
near critical temperature, J. Math. Phys., vol. 44 (6) (2003), 2639-2678.
[32] Superconducting
films in perpendicular fields and effect of de Gennes
parameter, SIAM J. Math. Anal., vol. 34 (4) (2003), 957-991.
[31] An
operator-splitting method for liquid crystal model, Comp. Phys. Comm., vol. 152
(3) (2003), 242-252, (with R. Glowinski and P. Lin)
[30] Upper
critical field and location of surface nucleation of superconductivity, Ann.
LHP Analyse Non Lineaire,
vol. 20 (1), 2003, 145-181. (with B. Helffer)
[29] Surface
superconductivity in applied magnetic fields above H_c2, Comm. Math. Phys.,
vol. 228 (2), (2002), 327-370.
[28] Upper
critical field for superconductors with edges and corners, Calculus of
Variations and PDE, vol. 14 (4) (2002), no. 4, 447-482.
[27] On
a problem related to vortex nucleation of superconductivity, J. Differential
Equations, vol. 182 (2002), 141-168. (with K. H. Kwek)
[26] Schrodinger
operators with non-degenerately vanishing magnetic fields in bounded domains,
Trans. Amer. Math. Soc., vol. 354 (10) (2002), 4201-4227. (with
K. H. Kwek)
[25] Ginzburg-Landau system and surface nucleation of
superconductivity, Methods and Applications of Analysis, vol. 8 (2) (2001),
279-300. (with K. Lu)
[24] Surface
nucleation of superconductivity in 3-dimension, J. Differential Equations, vol.
168 (2) (2000), 386-452. (with K. Lu)
[23] Asymptotics of minimizers of variational
problems involving curl functional, J. Math. Phys., vol. 41 (7) (2000),
5033-5063. (with Y. Qi)
[22] Gauge
invariant eigenvalue problems in R^2 and in R^2_+, Trans. Amer. Math. Soc.,
vol. 352 (3) (2000), 1247-1276. (with K. Lu)
[21] Estimates
of the upper critical field for the Ginzburg-Landau
equations of superconductivity, Physica D, vol. 127
(1-2) (1999), 73-104. (with K. Lu)
[20] Eigenvalue
problem of Ginzburg-Landau operator in bounded
domains, J. Math. Phys., vol. 40 (6) (1999), 2647-2670. (with
K. Lu)
[19] Yamabe problem on half spaces, Nonlinear Anal. TMA, vol. 37
(2) (1999), 161-186. (with G. Bianchi)
[18] A
variational problem of liquid crystals, Comm. in
Applied Nonlinear Anal., vol. 5 (1) (1998), 1-31. (with
Y. Yi)
[17] Semilinear Neumann problem in an exterior domain, Nonlinear
Anal. TMA, vol. 31 (7) (1998), 791-821. (with X. Wang)
[16] Ginzburg-Landau equation with De Gennes
boundary conditions, J. Differential Equations, vol. 129 (1) (1996), 136-165. (with K. Lu)
[15] Least
energy solutions of semilinear Neumann problems in
R^4 and asymptotics, J. Math. Anal. Appl., vol. 201
(2) (1996), 532-554. (with X. Xu)
[14] Singular
limit of quasilinear Neumann problems, Proc. Royal Soc. Edinburgh, vol. 125A
(1) (1995), 205-223.
[13] Further
study on the effect of boundary conditions, J. Differential Equations, vol. 117
(2) (1995), 446-468.
[12] Condensation
of least-energy solutions: The effect of boundary conditions, Nonlinear Anal.
TMA, vol. 24 (2) (1995), 195-222.
[11] Condensation
of least-energy solutions of a semilinear Neumann
problem, J. Partial Differential Equations, vol. 8 (1) (1995), 1-36.
[10] The
Melnikov method and elliptic equations with critical
exponent, Indiana Univ. Math. J., vol. 43 (3) (1994), 1045-1077. (with R. Johnson and Y. Yi)
[9] Singular
solutions of the elliptic equation Delta u-u+u^p=0,
Ann. Mat. Pura Appl., vol. 166 (4) (1994), 203-225. (with
R. Johnson and Y. Yi)
[8] Positive
solutions of super-critical elliptic equations and asymptotics,
Comm. Partial Differential Equations, vol. 18 (5-6) (1993), 977-1019. (with R. Johnson and Y. Yi)
[7] Singular
ground states of semilinear elliptic equations via
invariant manifold theory, Nonlinear Anal. TMA, vol. 20 (11) (1993), 1279-1302.
(with R. Johnson and Y. Yi)
[6] On
an elliptic equation related to the blow-up problem of the nonlinear
Schrodinger equation, Proc. Royal Soc. Edinburgh, vol. 123A (4) (1993),
763-782. (with R. Johnson)
[5] Positive
solutions of the elliptic equation Delta u+u^{(n+2)/(n-2)}+K(x)u^q=0 in R^n and in balls, J. Math. Anal. Appl., vol. 172 (2) (1993),
323-338.
[4] Blow-up
behavior of ground states of semilinear elliptic
equations in R^n involving critical Sobolev exponents, J. Differential Equations, vol. 99 (1)
(1992), 78-107. (with X. Wang)
[3] Singular
behavior of least-energy solutions of a semilinear
Neumann problem involving critical Sobolev exponents,
Duke Math. J., vol. 67 (1) (1992), 1-20. (with W. M.
Ni and I. Takagi)
[2] Positive
solutions of Delta u+K(x)u^p=0 without decay
conditions on K(x), Proc. Amer. Math. Soc., Vol. 115 (3) (1992), 699-710.
[1] Existence
of singular solutions of a semilinear elliptic
equation in R^n, J. Differential Equations, vol. 94
(1) (1991), 191-203.
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