CHANG-SHOU LIN 

                                                                     Department of Mathematics
                                                                     National Chung Cheng University
                                                                     160 San-Hsing, Min-Hsiung
                                                                     Chia-Yi 621, Taiwan

                                                                     E-Mail : cslin@math.ccu.edu.tw

　

Field of Research
   Nonlinear PDE , Differential Geometry 

Preprints / Publications
 Chen, C.C. and Lin, C.S., On Completeness and Compactness of Conformal

Metrics in Rn, Asian J. of Math., 1 (1997), 565-575.

Chen, C.C. and Lin, C.S., Estimates of the Conformal Scalar

Curvature Equation Via the Method of Moving Planes,

Comm. Pure Appl. Math., 50 (1997), 971-1017.

Cheng, K.S. and Lin, C.S., On the Asymptotic Behavior of Solutions of the

Conformal Gaussian Curvature Equations in R2, Math. Ann., 308

(1997), 119-139.

Chen, C.C. and Lin, C.S., A Sharp sup+inf Inequality for a

Nonlinear Ellptic Equation in R2, Communication in Analysis

and Geometry, 6 (1998), 1-19.

Lin, C.S., Liouville-type Theorems for Semilinear Elliptic Equations

Involving the Sobolev Exponent, Mathematische Zeitschrift, 228 (1998),

723-744.

Cheng, K.S. and Lin, C.S., Compactness of Conformal Metrics with

Positive Gaussian Curvature in R2, Ann. Scuola. Norm.

Sup. Pisa, Ser. IV, 26(1998), 31-45.

Lin, C.S., A Classification of Solutions of a Conformally Invariant

Fourth Order Equation in Rn, Commentarii Mathematici Helvetici,

73 (1998), 206-231.

Chen, C.C. and Lin, C.S., Estimate of the Conformal Scalar

Curvature Equation Via the Method of Moving Planes, II, Journal of

Differential Geometry, 49(1998), 115-178.

Cheng, K.S., and Lin, C.S., On the Conformal Gaussian Curvature Equations

in R2, J. Differential Equations, 146 (1998), 226-250.

Chen, C.C. and Lin, C.S., Existence of Positive Weak Solutions with a

Prescribed Singular Set of a Semilinear Elliptic Equation, The Journal

of Geometric Analysis, 9(1999), 221-246.

Chen, C.C. and Lin C.S., Blowing up with Infinite Energy of Conformal

Metrices on Sn, Comm. in Partial Differential Equations,

24(1999), 785-799.

Cheng, K.S. and Lin, C.S., Conformal Metrics in R2 with Prescribed

Gaussian Curvature with Positive Total Curvature in R2,

Nonlinear Analysis 38 (1999), no. 6, Ser. A: Theory methods,

775-783.

Chen, C.C. and Lin, C.S., On the Asymptotic Symmetry of Singular

Solutions of the Conformal Scalar Curvature Equations, Math.

Annallen, 313 (1999), 229-245.

Lin, C.S., On Liouville Theorem and a Priori Estimate for the Scalar

Curvature Equations, Ann. Scuola. Norm. Sup. Pisa, Cl. Sci. (4),

27(1998), no. 1, 107-130, 1999.

Chen, C.C. and Lin, C.S., On Axisymmetric Solutions of Conformal Scalar

Curvature Equation on Sn, Advances in Differential

Equations, 5(2000), 121-147.

Chen, C.C. and Lin, C.S., Blowup behavior of mean field type

equations, Taiwanese J. of Math., 4(2000), 21-31.

Lin, C.S., Estimates of the Scalar Curvature Equation Via

the Method of Moving Planes, III, Communication on Pure and

Applied Math., 53(2000), 611-646.

Lin, C.S., Uniqueness of Conformal Metrics with Prescribed Total

Curvature in R2, Calculus of Variations & PDE, 10(2000), 291-319.

Cheng, K.S. and Lin, C.S., Multiple Solutions of Conformal

Metrics with Negative Total Curvature, Advances in Differential

Equations, 5(2000), 1253-1288.

Cheng, K.S. and Lin, C.S., Conformal Metrics with Negative Gaussian

Curvature in R2, Calculus of Variations & PDE, 11(2000), 203-231.

Lin, C.S., Uniqueness of Solutions to the Mean Field Equation for the

Spherical Onsager Vortex, Arch. for Rational Mechanics, 153(2000)2,

153-176.

Lin, C.S., Topological Degree for Mean Field Equations on S2, Duke

Math. Journal, 104(2000), 501-536.

Chen, C.C. and Lin, C.S., On the Symmetry of Blowup

Solutions to a Mean Field Equation, Ann. Linstitute H. Poincarè,

Analyse Nonlinèare, 18, 3(2001), 271-296.

Lin, C.S. and Zhu, X.H., Explicit Construction of Extremal Hermitian Metrics

with Finite Singularities on S2, Comm. Analysis and Geometry, 10(2002),

177-216.

Lin, C.S., Locating the Peaks of Solutions to a Neumann

Problem Via the Maximum Principle, I: The Neumann Problem, Comm. Pure

Appl. Math., 56(2001), 1065-1095.

Lin, C.S. and Takagi, I., Method of Rotating Planes Applied to a

Singularly Perturbed Neumam Problems, Calc. Var. and Partial Diff.

Eqs., 13(2001), 519-536.

Gui, C.-F. and Lin, C.S., Estimates for Boundary-bubbling Solutions to an Elliptic

Neumann Problem, J. für die Reine und Angewandte Math. (Crelle

J.), to appear.

Chern, J.L. and Lin, C.S., Axial Symmetry of the

Least-energy Solutions of Nonlinear Elliptic Equations, Journal of Differential

Equations, to appear.

Chen, C.C. and Lin, C.S., On Prescribing Scalar Curvature on Sn, Part

I: Apriori Estimates, Journal of Differential Geometry, 57(2001), 67-171.

Chen, C.C. and Lin, C.S., Spherical Harnack Inequality for Singular

Solutions of Nonlinear Elliptic Equation, Ann. Scuola. Norm. Sup. Pisa, Cl.

Sci (4), 30(2001), 713-738.

Han, Q., Hong, J.X. and Lin, C.S., Small Divisors in Nonlinear Elliptic

Equations, submitted, to appear in Calc. Var. & PDE.

Chen, C.C. and Lin, C.S., Sharp Estimates for Solutions with Multi-bubbles

in Compact Riemann Surface, Comm. Pure Appl. Math. 57(2002), 728-771.

Chang, S.Y.A., Chen, C.C. and Lin, C.S. , Extremal Functions for a Mean Fiels Equation in

Two Dimension, submitted, 2002.

Chan, H., Fu, C.C. and Lin, C.S., Non-topological Solutions

to the self-dual Chern-Simons-Higgs equation, Comm. Math. Physics, to appear.

Chen, C.C. and Lin, C.S., Topological Degree for Mean Field Equations on Riemann

Surfaces, preprint, 2002.

Chen, C.C. and Lin, C.S., On Prescribing Scalar Curvature on Sn, Part

II: Counting the Leray Schauder Degree. In preparation.

Grossi, M., Lin, C.S. and Parashanth, S., A Uniqueness Result

for a Neumann Problem Involving the Critical Sobolev Exponent, preprint, 2001.

Lin, C.S., and Wei, J.C., Uniqueness of Multi-pike Solutions Via the

Method of Moving Planes, preprint, 2001.

Lin, C.S., and Wei, J.D., Locating the Peaks of Solutions, II: A Loacal

Version of the Method of Moving Planes, preprint, 2002.