Convexity of solutions to boundary blow-up problems
Petri Juutinen · Communications on Pure & Applied Analysis · 2013
We prove convexity of solutions to boundary blow-up problems forthe singular infinity Laplacian and the $p$-Laplacian for $p\ge 2$. The proofis based on an extension of the results of Alvarez, Lasry and Lions [2] and on estimates of the boundary blow-up rate.