Non-existence of dead cores in fully nonlinear elliptic models

Joao Vitor da Silva, Disson dos Prazeres, Humberto Ramos Quoirin

We investigate non-existence of nonnegative dead-core solutions for the problem $$|Du|^γF(x, D^2u)+a(x)u^q = 0 \quad \mbox{in} \quad Ω, \quad u=0 \quad \mbox{ on } \quad \partialΩ.…