2 papers
math.AP2023
Nondegeneracy and stability in the limit of a one-phase singular perturbation problem
Nikola Kamburov
We study solutions to a one-phase singular perturbation problem that arises in combustion theory and that formally approximates the classical one-phase free boundary problem. We in…
math.AP2022
Nondegeneracy for stable solutions to the one-phase free boundary problem
Nikola Kamburov, Kelei Wang
We prove the nondegeneracy condition for stable solutions to the one-phase free boundary problem. The proof is by a De Giorgi iteration, where we need the Sobolev inequality of Mic…