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math.AP2026
On the solvability of the discrete nonlinear Schrodinger equation with subcubic potential
Daniel Maroncelli
In this paper, we analyze the solvability of the discrete nonlinear Schrödinger equation \begin{equation*} iβ(Δ_t+\nabla_t)ϕ(t,k) +γ|ϕ(t,k)|^2ϕ(t,k) +\varepsilon Δ_k^2ϕ(t,k-1) = g(…
math.AP2022
A Fredholm Alternative for Elliptic with Interior and Boundary Nonlinear Reactions
Dan Maroncelli, Mauricio Rivas
In this paper we study the existence of solutions to the following generalized nonlinear two-parameter problem \begin{equation*} a(u, v) \; =\; λ\, b(u, m) + μ\, m(u, v) + \varepsi…