Multiplicity of normalized solutions for p-Laplacian equation with
critical growth in RN
Abstract
In this paper, we consider the following p-Laplacian equation
−∆pu + |u|p−2u − λu = µ|u|q−2u +
|u|p∗−2u, in RN, u > 0, ∫ RNu2dx = a2,
where a,µ > 0, −∆pu = div(|∇u|p−2∇u),1
< p < N, λ ∈ R is an unknown parameter that appears
as a Lagrange multiplier, p < q
