Multiple solutions for a quasilinear Schrödinger equation

Soliton Solutions for Quasilinear Schrödinger Equations

Existence of Multiple Solutions for a Quasilinear Biharmonic Equation

Using three critical points theorems, we prove the existence of at least three solutions for a quasilinear biharmonic equation.

The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach

Positive solutions for a quasilinear Schrödinger equation

We consider the quasilinear problem −εpdiv(|∇u|p−2∇u) + V (z)up−1 = f(u) + up−1, u ∈W (R ), where ε > 0 is a small parameter, 1 < p < N , p∗ = Np/(N − p), V is a positive potential and f is a superlinear function. Under a local condition for V we relate the number of positive solutions with the topology of the set where V attains its minimum. In the proof we apply Ljusternik-Schnirelmann theory...

Existence of nontrivial weak solutions for a quasilinear Choquard equation

We are concerned with the following quasilinear Choquard equation: [Formula: see text] where [Formula: see text], [Formula: see text] is the p-Laplacian operator, the potential function [Formula: see text] is continuous and [Formula: see text]. Here, [Formula: see text] is the Riesz potential of order [Formula: see text]. We study the existence of weak solutions for the problem above via the mo...