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

@inproceedings{Khuddush2021PositiveRS, title={Positive Radial Solutions for an Iterative System of Nonlinear Elliptic Equations in an Annulus}, author={M. Khuddush and K. R. Prasad}, year={2021} }

This paper deals with the existence of positive radial solutions to the iterative system of nonlinear elliptic equations of the form △uι̇ − (N− 2)r 0 |x|2N−2 uι̇ + l(|x|)gι̇(uι̇+1) = 0, R1 < |x| < R2, where ι̇ ∈ {1, 2, 3, · · ·, n}, u1 = un+1, △u = div(▽u), N > 2, l = ∏m i=1 li, each li : (r0,+∞) → (0,+∞) is continuous, rl is integrable, and gι̇ : [0,+∞) → R is continuous, by an application of various fixed point theorems in a Banach space. Further, we also establish uniqueness of solution to… Expand

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