Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball

Positive Radial Solutions for an Iterative System of Nonlinear Elliptic Equations in an Annulus

“…For d in (19), the pair (C([0, 1]), d) forms a complete metric space. For ρ in (20), the pair (C([0, 1]), ρ) forms a metric space. The relationship between the two metrics on v is given by…”

“…where Ω is a ball or an annulus in R N . Recently, Son and Wang [20] established positive radial solutions to the nonlinear elliptic systems, △u ι + λK ι(|x|)g ι(u ι+1 ) = 0 in Ω E , u ι = 0 on |x| = r 0 , u ι → 0 as |x| → +∞, where ι ∈ {1, 2, 3, • • •, n}, u 1 = u n+1 , λ > 0, N > 2, r 0 > 0, and Ω E is an exterior of a ball. Motivated by the above works, in this paper we study the existence of infinitely many positive radial solutions for the following iterative system of nonlinear elliptic equations in an annulus,…”

Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain

“…where Ω is a ball or an annulus in R N . Recently, Son and Wang [25] considered the following system in an exterior ball X :…”