The Mean Curvature Equation with Oscillating Nonlinearity
Anderson L. A. de Araújo, Marcelo A. Montenegro · Advanced Nonlinear Studies · 2015
Abstract We find a solution of the Dirichlet problem for the prescribed mean curvature equation in Ω with u = 0 on ∂Ω, where Ω is a smooth bounded domain in ℝ N , N ≥ 1 and f : Ω × [0,∞) → ℝ is an unbounded continuous function with oscillatory behavior near the origin.