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 Elliptic 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 Fields 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.