Resumen de The Existence of Arbitrary Multiple Nodal Solutions for a Class of Quasilinear Schrödinger Equations
This paper is concerned to studying the quasilinear Schrödinger equation:
−u + V(x)u − γ 2 (u2)u = |u| p−2u, x ∈ RN , where V(x)is a given potential, γ > 0 and either p ∈ (2, 2∗), 2∗ = 2N N−2 for N 4 or p ∈ (2, 4) for N = 3. We establish the existence of arbitrary multiple nodal solutions for the above equations
