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Changyu GUO

Professor

Research Center for Mathematics and Interdisciplinary Sciences
Shandong University


SELECTED CONFERENCE PRESENTATIONS

- Regularity of solutions to a forth order elliptic PDEs, Geometric Analysis on Riemannian and Singular Metric Measure Spaces, July 1-5, 2019, Lake Como School of Advanced Studies, Como, Italy.

-Harmonic mappings between singular metric spaces, "Topics at the Interface of Analysis and Geometry", the 2019 Spring Central and Western Joint Sectional Meeting of the AMS, March 22 - 24, 2019.

-The theory of quasiregular mappings in metric spaces, Contributed talk at the 7th International Congress of Chinese Mathematicians, Academy of Mathematics and Systems Science (AMSS) and the Morningside Center of Mathematics (MCM), Beijing, China, August 6-11, 2016.

-The theory of quasiregular mappings in metric measure spaces, International Conference on Complex Analysis and Related Topics, The 14th Romanian-Finnish Seminar, June 20-24, 2016, Bucharest, Romania.

-On 1-quasregular mappings between Riemannian manifolds, Meeting for young mathematicians in Finland 2015, Aalto University, Espoo, Finland, 26-28 August 2015.

- The branch set of a quasiregular mapping: recent advances and open problems, Workshop on Analysis and Geometry in Metric Spaces, ICMAT, Madrid, Spain, 1-5 June 2015.

- Uniform continuity of quasiconformal mappings onto generalized John domains, Fourth Finnish-Estonian Mathematics Colloquium and Finnish Mathematical Days 2014, University of Helsinki, Finland, 9-10 January, 2014


PUBLICATIONS

22. C.Y. Guo and C.L. Xiang, Regularity of solutions for a fourth order elliptic system via conservation law, J. Lond. Math. Soc., 2019

21. C.Y. Guo, S. Hencl and V. Tengvall, Mappings of finite distortion: size of the branch set, Adv. Calc. Var., 2019

20. C.Y. Guo and S. Wenger, Area minimizing discs in locally non-compact spaces, Comm. Anal. Geom., 2019

19. C.Y. Guo and C.L. Xiang, Some regularity results for p-harmonic mappings between Riemannian manifolds, Nonlinear Anal. 188 (2019), 405-424. 

18. C.Y. Guo and C.L Xiang, Regularity of quasi-n-harmonic mappings into NPC spaces, Ann. Mat. Pura Appl. 198 (2019), no. 2, 367-380. 

17. C.Y. Guo, Intrinsic geometry and analysis of Finsler structures, Ann. Mat. Pura. Appl. 196 (2017), no. 5, 1685-1693. 

16. T. Akkinen and C.Y. Guo, Mappings of finite distortion: boundary extension in uniform domains, Ann. Mat. Pura. Appl. 196 (2017), 65-83. 

15. C.Y. Guo, Fractional Sobolev-Poincare inequalities in irregular domains, Chin. Ann. Math. Ser. B. 38 (2017), 839-856. 

14. C.Y. Guo and P. Koskela, Sharpness of uniform continuity of quasiconformal mappings onto s-John domains, Ann. Acad. Sci. Fenn. Math. 42 (2017), 51-59. 

13. C.Y. Guo, M. Kar and M. Salo, Inverse problems for p-Laplace type equations under monotonicity assumptions, Rend. Istit. Mat. Univ. Trieste 48 (2016), 79-99 

12. C.Y. Guo and M. Kar, Quantitative uniquness estimates for p-Laplace type equations in the plane, Nonlinear Anal. 143 (2016), 19-44. 

11. C.Y. Guo and M. Williams, The branch set of a quasiregular mapping between metric manifolds, C. R. Math. Acad. Sci. Paris 356 (2016), 155-159. 

10. C.Y. Guo, C.L. Xiang and D. Yang, L infinite-variational problems associated to measurable Finsler structures, Nonlinear Anal. 132 (2016), 126-140. 

9. C.Y. Guo, Sharp capacity estimates in s-John domains, Potential Anal. 43 (2015), no. 2, 277-288. 

8. C.Y. Guo, Mappings of finite inner distortion: global homeomorphism theorem, J. Geom. Anal. 25 (2015), no. 3, 1969-1991. 

7. C.Y. Guo, Mappings of finite distortion between metric measure spaces, Conform. Geom. Dyn. 19 (2015), 95-121. 

6. C.Y. Guo, Generalized quasidisks and conformality II, Proc. Amer. Math. Soc. 143 (2015), no. 8, 3505-3517. 

5. C.Y. Guo, Uniform continuity of quasiconformal mappings onto generalized John domains, Ann. Acad. Sci. Fenn. Math. 40 (2015), no.1, 183-202. 

4. C.Y. Guo, Mappings of finite distortion of polynomial type, J. Geom. Anal. 24 (2014), no. 2, 1052-1063. 

3. C.Y. Guo, Regularity of the inverse of a homeomorphism with finite inner distortion, Acta Math. Sin. (Engl. Ser.) 30 (2014), no.12, 1999-2013. 

2. C.Y. Guo, P. Koskela and J. Takkinen, Generalized quasidisks and conformality, Publ.Mat., 58 (2014), no. 1, 193-212. 

1. C.Y. Guo and P. Koskela, Generalized John disks, Cent. Eur. J. Math., 12 (2014), no. 2, 349-361. 


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