List of Publications

（Possibile Pen Name: Yi Ru-Ya Zhang）

The publications are listed according to the time when they were finished. 

1. Pekka Koskela, Jie Xiao, Yi Zhang and Yuan Zhou, A quasiconformal composition problem for the Q-spaces, J. Eur. Math. Soc., 19 (2017), no. 4, 1159–1187. http://arxiv.org/abs/1608.02009

2. Pekka Koskela, Yi Zhang and Yuan Zhou, Morrey-Sobolev extension domains, J. Geom. Anal. 27 (2017), no. 2, 1413–1434. http://link.springer.com/article/10.1007/s12220-016-9724-9

3. Pekka Koskela, Tapio Rajala and Yi Zhang, A geometric characterization of planar Sobolev extension domains, Submitted. 

(See http://arxiv.org/abs/1502.04139 for the more specific version.)

4. Pekka Koskela and Yi Zhang, A density problem for Sobolev spaces on planar domains, Arch. Ration. Mech. Anal., 222 (2016), no. 1, 1–14. http://arxiv.org/abs/1508.01400

5. Pekka Koskela, Tapio Rajala and Yi Zhang, Planar $W^{1,\,1}$-extension domains, Preprint, https://jyx.jyu.fi/handle/123456789/53616 (the last paper) . 

6. Nicola Fusco, Yi Zhang, A quantitative form of the Faber-Krahn inequality, Calc. Var. Partial Differential Equations 56 (2017), no. 5, 56:138. http://cvgmt.sns.it/paper/3015/ 

7. Pekka Koskela, Tapio Rajala and Yi Zhang, A density problem for Sobolev spaces on Gromov hyperbolic domains, Nonlinear Anal. 154 (2017), 189–209. https://arxiv.org/abs/1605.08260

8. Herbert Koch, Yi Zhang, Yuan Zhou, An asymtotic sharp Sobolev regularity for planar infinity harmonic functions, J. Math. Pures Appl. (9) 132 (2019), 457–482. https://arxiv.org/abs/1806.01982

9. Herbert Koch, Yi Zhang, Yuan Zhou, Some sharp Sobolev regularity for inhomogeneous ∞-Laplace equation in plane, J. Math. Pures Appl. (9) 132 (2019), 483–521.  https://arxiv.org/abs/1806.01987

10. Nicola Fusco, Shirsho Mukherjee, Yi Zhang, A variational characterisation of the second eigenvalue of the p-Laplacian on quasi open sets, Proc. Lond. Math. Soc. (3) 119 (2019), no. 3, 579–612.  https://arxiv.org/abs/1806.07303

11. Yi Zhang, Schoenflies solutions of conformal boundary values may fail to be Sobolev, Ann. Acad. Sci. Fenn. Math. 44 (2019), no. 2, 791–796. https://arxiv.org/abs/1808.10392

12. Yi Zhang, Yuan Zhou, C^1-Regularity of planar \infty-harmonic functions - revisited, Proc. Amer. Math. Soc. 148 (2020), no. 3, 1187–1193. https://arxiv.org/abs/1905.06298

13. Hongjie Dong, Fa  Peng, Yi  Zhang, Yuan Zhou, Hessian estimates for equations involving p-Laplacian via a fundamental inequality, Adv. Math. 370 (2020), 107212, 40 pp.  https://arxiv.org/abs/1908.01547

14. Alessio Figalli, Yi Zhang, Strong stability for the Wulff inequality with a crystalline norm, Comm. Pure Appl. Math., 75 (2022), no. 2, 422–446. https://arxiv.org/abs/1910.09515 

15. Pekka Koskela, Pekka Pankka, Yi Zhang, Ahlfors reflection theorem for p-morphisms, Submitted. https://arxiv.org/abs/1912.09200 

16. Yi Zhang, Duality of capacities and Sobolev extendability in the plane, Complex Anal. Synerg. 7 (2021), no. 1, Paper No. 3, 6 pp. https://arxiv.org/abs/2002.01294

17. Alessio Figalli, Yi Zhang, Sharp gradient stability for the Sobolev inequality,  Duke Math. J. 171 (2022), no. 12, 2407–2459. https://arxiv.org/abs/2003.04037 

18. Fa Peng, Yi  Zhang, Yuan Zhou, Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in R^n with n\ge 10, Analysis & PDE, Accepted. https://arxiv.org/abs/2105.02535

19. Alessio Figalli, Yi Zhang, Uniform boundedness for finite Morse index solutions to supercritica semilinear elliptic equations, Comm. Pure Appl. Math. 77 (2024), no. 1, 3–36.  https://arxiv.org/abs/2106.10959 

20. Fa Peng, Yi  Zhang, Yuan Zhou, Interior Holder regularity for stable solutions to semilinear elliptic equations up to dimension 5, Submitted. https://arxiv.org/abs/2204.06345 

21. Hongjie Dong, Fa Peng, Yi Zhang, Yuan Zhou, Jacobian determinants for (nonlinear) gradient of planar ∞-harmonic functions and applications, J. Reine Angew. Math., Accepted. https://arxiv.org/abs/2209.02659 

22. Alessio Figalli, Yi Zhang, Strong stability of convexity with respect to the perimeter, Submitted. https://arxiv.org/abs/2307.01633 

23.  Fa Peng, Yi Zhang, Yuan Zhou, Regularity from p-harmonic potentials to \infty-harmonic potentials in convex rings, Submitted. https://arxiv.org/abs/2310.08093 

24. Weicong Su, Yi Zhang, Carrot John domains in variational problems. https://arxiv.org/abs/2401.08133 

25. Weicong Su, Yi Zhang, John property of anisotropic minimal surfaces. https://arxiv.org/abs/2406.06906