The unique continuation property for a nonlinear equation on trees
Del Pezzo, Leandro M. · Mosquera, Carolina A. · Rossi, Julio D.
Original · EN
In this paper we study the game p-Laplacian on a tree, that is, u(x)=α2{∈ §₍ₓ₎u(y) + ∈ §₍ₓ₎u(y)} + βm∑y∈ §₍ₓ₎ u(y), here x is a vertex of the tree and S(x) is the set of successors of x. We study the family of the subsets of the tree that enjoy the unique continuation property, that is, subsets U such that uᵤ=0 implies u ≡ 0.
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