then he saw [wisdom] and declared it, yes, he set it up and searched it out...
Job 28, The Hebrew Bible
Lecturer (Fachbereich Mathematik)
Departement Mathematik und Informatik
Spiegelgasse 1
4051 Basel
Schweiz
Research associate (FG Lenzmann)
Spiegelgasse 1
4051 Basel
Schweiz
SNF Ambizione Fellow (PI)
Severo Ochoa Postdoctoral Fellow (ICMAT, Madrid)
ERC Postdoctoral Fellow (ETH Zurich)
Dissertation "New solutions to local and non-local elliptic equations." under Juncheng Wei and Nassif Ghoussoub, University of British Columbia
Thesis "Convergence of bounded solutions for nonlinear parabolic equations" under Kai-Seng Chou, Chinese University of Hong Kong
Nonlinear partial differential equations, semilinear elliptic equations, nonlocal equations, phase transitions, Yamabe problem, nonlocal minimal surfaces, construction of solutions, singular solutions, free boundary problems
Flatness of stable free boundary, classificaiton of stable nonlocal minimal surfaces, theory of nonlocal ODEs, fractional elliptic gluing scheme, new boundary singular phenomena
W. Ao, H. Chan, A. DelaTorre, M.A. Fontelos, M.d.M. Gonzalez, J. Wei. On higher-dimensional singularities for the fractional Yamabe problem: A nonlocal Mazzeo–Pacard program, Duke Math. J. 168 (2019), no. 17, 3297–3411.
H. Chan, X. Fernandez-Real, A. Figalli, J. Serra, Stable free boundaries in dimension 3:Allen–Cahn and Alt–Caffarelli, forthcoming.
H. Chan, S. Dipierro, J. Serra, E. Valdinoci. Nonlocal approximation of minimal surfaces: optimal estimates from stability, arXiv:2308.06328.
H. Chan, Y. Liu, J. Wei. Existence and instability of deformed catenoidal solutions for fractional Allen–Cahn equation, arXiv:1711.03215.