Email: safdari [at] sharif [dot] ir

Email: safdari [at] sharif [dot] ir

I am an Assistant Professor in the Department of Mathematical Sciences at Sharif University of Technology. I completed my Ph.D. under the supervision of L. C. Evans and N. Reshetikhin at University of California, Berkeley. Before that, I received my BSc and MSc degrees in Mathematics, here at Sharif University.

My research is mainly about nonlinear partial differential equations, and free boundary problems. I am also interested in mathematical and theoretical aspects of Physics.

Here are links to my CV and my Google Scholar page.

Publications

10. A weakly coupled system of p-Laplace type in a heat conduction problem (with M. Fotouhi and H. Shahgholian), 38 pp, submitted. arXiv:2309.12794

9. Nonlocal equations with gradient constraints, *Calc. Var. Partial Differ. Equ., *62(7):193, 30 pp, 2023. arXiv:2106.02653 DOI

8. Nonlocal fully nonlinear double obstacle problems, 15 pp, to appear in *Differ. Integral Equ.* arXiv:2105.09417

7. Double obstacle problems and fully nonlinear PDE with non-strictly convex gradient constraints, *J. Differ. Equ.*, 278:358–392, 2021. arXiv:1907.04683 DOI

6. Global optimal regularity for variational problems with nonsmooth non-strictly convex gradient constraints, *J. Differ. Equ.*, 279:76–135, 2021. arXiv:1807.01590 DOI

5. The distance function from the boundary of a domain with corners, *Nonlinear Anal.*, 181:294–310, 2019. arXiv:1602.03425 DOI

4. An example of non-embeddability of the Ricci flow, *Ann. Global Anal. Geom.*, 55(4):681–685, 2019. arXiv:1408.2259 DOI

3. The regularity of some vector-valued variational inequalities with gradient constraints, *Commun. Pure Appl. Anal.*, 17(2):413–428, 2018. arXiv:1501.05339 DOI

2. On the shape of the free boundary of variational inequalities with gradient constraints, *Interfaces Free Bound.*, 19(2):183–200, 2017. arXiv:1508.02026 DOI

1. The free boundary of variational inequalities with gradient constraints, *Nonlinear Anal.*, 123-124:1–22, 2015. arXiv:1501.05337 DOI