Normalized solutions for a coupled Schrödinger system

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

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

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 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 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.