Nikola Kamburov

Facultad de Matemáticas, Pontificia Universidad Católica de Chile

Papers
One-phase free boundary solutions of finite Morse index, submitted (2023). (with J. Basulto) arXiv
Nondegeneracy and stability in the limit of a one-phase singular perturbation problem, Discrete Contin. Dyn. Syst. (2023). Journal arXiv
Nondegeneracy for stable solutions to the one-phase free boundary problem, Math. Ann. (2023). (with Kelei Wang) Journal arXiv
Uniform a priori estimates for positive solutions of the Lane-Emden system in the plane, Calc. Var. 62, no. 76 (2023). (with Boyan Sirakov) Journal arXiv
Nontrivial solutions to Serrin's problem in annular domains, Ann. I. H. Poincaré--AN 38, no. 1 (2021): 1-22. (with Luciano Sciaraffia) Journal arXiv
Free boundaries subject to topological constraints, Discrete Contin. Dyn. Syst. 39, no. 12 (2019): 7213-7248. (with David Jerison) Journal arXiv
Uniform a priori estimates for positive solutions of the Lane-Emden, Calc. Var. 57, no. 164 (2018). (with Boyan Sirakov) Journal arXiv
The phase structure of grain boundaries, Phil. Trans. R. Soc. A 376, no. 2117 (2018). (with Nick Ercolani and Joceline Lega) Journal
Structure of one-phase free boundaries in the plane, Int. Math. Res. Notices 2016, no.19 (2016): 5922-5987. (with David Jerison) Journal arXiv
A free boundary problem inspired by a conjecture of De Giorgi, Commun. Part. Diff. Eq. 38, no. 3 (2013): 477-528 Journal arXiv

Author identifiers
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