Positive solutions for a weakly coupled nonlinear Schrödinger system

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.

existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

in this paper, we consider a coupled system of nonlinear fractional differential equations (fdes), such that bothequations have a particular perturbed terms. using emph{leray-schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.

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

Existence of Solutions for a Modified Nonlinear Schrödinger System

We are concerned with the followingmodified nonlinear Schrödinger system: −Δu+u−(1/2)uΔ(u2) = (2α/(α+β))|u||V|u, x ∈ Ω, −ΔV+V−(1/2)VΔ(V2) = (2β/(α+β))|u||V|V, x ∈ Ω, u = 0, V = 0, x ∈ ∂Ω, whereα > 2, β > 2, α+β < 2⋅2, 2∗ = 2N/(N−2) is the critical Sobolev exponent, andΩ ⊂ RN (N ≥ 3) is a bounded smooth domain. By using the perturbationmethod, we establish the existence of both positive and nega...

Existence of Positive Radial Solutions for a Weakly Coupled System via Blow Up

The existence of positive solutions to certain systems of ordinary differential equations is studied. Particular forms of these systems are satisfied by radial solutions of associated partial differential equations.