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The Mean Curvature Equation With Oscillating Nonlinearity

open access: yes, 2015
We find a solution of the Dirichlet problem for the prescribed mean curvature equation -div (∇u/√ 1+|∇u|2 ) = f (x, u) in Ω with u = 0 on ∂Ω, where Ω is a smooth bounded domain in RN, N ≥ 1 and f : Ω × [0,∞) → R is an unbounded continuous function with ...
De Araujo A.L.A., Montenegro M.
core  

Optical soliton solutions of the unstable nonlinear Schrödinger equation. [PDF]

open access: yesSci Rep
Shabbir S   +4 more
europepmc   +1 more source

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