Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems

Existence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight

‎This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight‎. ‎We apply the variational methods to prove the existence of ground state solution‎.

Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth

In this paper, we are concerned with the following fractional Schrödinger-Poisson system:    (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with ...

The existence , uniqueness and nonexistence of the ground state to the N - coupled Schrödinger systems in

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

Existence of Positive Ground State Solutions for a Class of Asymptotically Periodic Schrödinger-poisson Systems

In this article, by using variational method, we study the existence of a positive ground state solution for the Schrödinger-Poisson system −∆u+ V (x)u+K(x)φu = f(x, u), x ∈ R, −∆φ = K(x)u, x ∈ R, where V (x),K(x) and f(x, u) are asymptotically periodic functions in x at infinity.