Infinitely many solutions to quasilinear Schrödinger equations with critical exponent

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

Soliton Solutions for Quasilinear Schrödinger Equations

existence of infinitely many solutions for coupled system of schrödinger-maxwell's equations

A VARIATIONAL APPROACH TO THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR DIFFERENCE EQUATIONS

The existence of infinitely many solutions for an anisotropic discrete non-linear problem with variable exponent according to p(k)–Laplacian operator with Dirichlet boundary value condition, under appropriate behaviors of the non-linear term, is investigated. The technical approach is based on a local minimum theorem for differentiable functionals due to Ricceri. We point out a theorem as a spe...

Positive Solutions to Quasilinear Equations Involving Critical Exponent on Perturbed Annular Domains

In this paper we study the existence of positive solutions for the problem −∆pu = u ∗−1 in Ω and u = 0 on ∂Ω where Ω is a perturbed annular domain (see definition in the introduction) and N > p ≥ 2. To prove our main results, we use the Concentration-Compactness Principle and variational techniques.