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- Chang-Shou Lin

Mathematics

Taiwan

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
52
Citations
7,865
208
World Ranking
706
National Ranking
2

2023 - Research.com Mathematics in Taiwan Leader Award

2022 - Research.com Mathematics in Taiwan Leader Award

- Mathematical analysis
- Quantum mechanics
- Geometry

Chang-Shou Lin mainly focuses on Mathematical analysis, Combinatorics, Mathematical physics, Degree and Uniqueness. Chang-Shou Lin has included themes like Mean curvature and Scalar curvature in his Mathematical analysis study. His Integer study in the realm of Combinatorics interacts with subjects such as Dirac measure.

His research investigates the connection between Mathematical physics and topics such as Vortex that intersect with issues in Gauge theory, Work, Class, Exponential function and Nonlinear system. His Degree study combines topics in areas such as Compact Riemann surface, Riemann surface, Gravitational singularity and Type. The various areas that Chang-Shou Lin examines in his Omega study include Domain, Soliton, Chern–Simons theory and Torus.

- Large amplitude stationary solutions to a chemotaxis system (545 citations)
- A classification of solutions of a conformally invariant fourth order equation in Rn (386 citations)
- Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces (248 citations)

His primary scientific interests are in Mathematical analysis, Mathematical physics, Pure mathematics, Combinatorics and Chern–Simons theory. His studies in Mathematical analysis integrate themes in fields like Scalar curvature and Nonlinear system. His biological study spans a wide range of topics, including Flat torus and Abelian group.

His study in the field of Monodromy, Holomorphic function, Harmonic map and Lie algebra is also linked to topics like Quantum cohomology. His Combinatorics study combines topics in areas such as Domain, Type, Mean field equation and Omega. His Chern–Simons theory research is multidisciplinary, incorporating elements of Torus, Topology, Vortex, Infinity and Higgs boson.

- Mathematical analysis (46.40%)
- Mathematical physics (24.40%)
- Pure mathematics (23.60%)

- Pure mathematics (23.60%)
- Mathematical analysis (46.40%)
- Mathematical physics (24.40%)

His main research concerns Pure mathematics, Mathematical analysis, Mathematical physics, Monodromy and Combinatorics. As a part of the same scientific study, Chang-Shou Lin usually deals with the Pure mathematics, concentrating on Rank and frequently concerns with Degree and Point. His Mathematical analysis research incorporates themes from Type and Torus.

His Mathematical physics study incorporates themes from Mean field equation, Component and Nonlinear system. His Monodromy study combines topics from a wide range of disciplines, such as Order, Modular form, Series and Group. His biological study spans a wide range of topics, including Order, Algebraic number and Omega.

- Green function, Painlevé VI equation, and Eisenstein series of weight one (23 citations)
- Hamiltonian system for the elliptic form of Painlevé VI equation (19 citations)
- Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates (17 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary areas of study are Pure mathematics, Mathematical analysis, Mathematical physics, Type and Torus. His work in the fields of Pure mathematics, such as Modular form and Monodromy, intersects with other areas such as Hyperelliptic curve. His work on Mathematical analysis is being expanded to include thematically relevant topics such as Vortex.

Many of his research projects under Mathematical physics are closely connected to Solution structure with Solution structure, tying the diverse disciplines of science together. His studies deal with areas such as Connection, Combinatorics, Rank, Sequence and Sigma as well as Type. His work on Flat torus as part of general Torus study is frequently linked to Spectral curve and Mixed type, bridging the gap between disciplines.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Large amplitude stationary solutions to a chemotaxis system

C.-S. Lin;W.-M. Ni;I. Takagi.

Journal of Differential Equations **(1988)**

846 Citations

A classification of solutions of a conformally invariant fourth order equation in Rn

C.-S. Lin.

Commentarii Mathematici Helvetici **(1998)**

601 Citations

Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces

Chiun-Chuan Chen;Chang-Shou Lin.

Communications on Pure and Applied Mathematics **(2002)**

394 Citations

Topological degree for a mean field equation on Riemann surfaces

Chiun-Chuan Chen;Chang-Shou Lin.

Communications on Pure and Applied Mathematics **(2003)**

364 Citations

Estimates of the conformal scalar curvature equation via the method of moving planes

Chiun-Chuan Chen;Chang-Shou Lin.

Communications on Pure and Applied Mathematics **(1997)**

264 Citations

Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs Equation

Hsungrow Chan;Chun-Chieh Fu;Chang-Shou Lin.

Communications in Mathematical Physics **(2002)**

195 Citations

Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates

Shu-Ming Chang;Chang Shou Lin;Tai Chia Lin;Wen-Wei Lin.

Physica D: Nonlinear Phenomena **(2004)**

179 Citations

Elliptic functions, Green functions and the mean field equations on tori

Chang-Shou Lin;Chin-Lung Wang.

Annals of Mathematics **(2010)**

171 Citations

Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3

Chiun-Chuan Chen;Chang-Shou Lin.

Communications in Partial Differential Equations **(1991)**

157 Citations

Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

Jürgen Jost;Changshou Lin;Guofang Wang.

Communications on Pure and Applied Mathematics **(2006)**

157 Citations

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