The unique continuation property for a nonlinear equation on trees

Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi

In this paper we study the game $p-$Laplacian on a tree, that is, $$u(x)=\frac{\alpha }{2}\left\{\underset{y\in \S (x)}{\max }u(y)+\underset{y\in \S (x)}{\min }u(y)\right\}+\frac{\beta }{m}\sum _{y\in \S (x)}u(y),$$ her…