K. Ould Bouh

An Elliptic Neumann Problem Involving Critical Exponent

K. Ould Bouh · Journal of Advances in Mathematics and Computer Science · 2016

This paper is devoted to study the following nonlinear elliptic problem with Neumann boundary condition, (Pμ) : −Δu + μu = Ku3 , u > 0 in Ω and ∂u/∂v = 0 on ∂Ω where Ω is a smooth bounded domain in R4, μ is a positive parameter and K is a C3 positive Morse function on Ω. Using...