Nikola Kamburov

Facultad de Matemáticas, Pontificia Universidad Católica de Chile

A free boundary problem inspired by a conjecture of De Giorgi, Comm. Partial Differential Equations, 38(3): 477-528, 2013. arXiv Journal
Structure of one-phase free boundaries in the plane, Int. Mathematics Research Notices 2016(19): 5922-5987, 2016. (with David Jerison) arXiv Journal
The phase structure of grain boundaries, Phil. Trans. R. Soc. A 376(2117), 2018. (with Nick Ercolani and Joceline Lega) Journal
Uniform a priori estimates for positive solutions of the Lane-Emden, Calc. Var. 57(164), 2018. (with Boyan Sirakov) arXiv Journal
Free boundaries subject to topological constraints. (with David Jerison) arXiv Submitted
Nontrivial solutions to Serrin's problem in annular domains. (with Luciano Sciaraffia) arXiv