Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains (1912.12647v1)

Published 29 Dec 2019 in math.FA and math.AP

Abstract: We study existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a non-standard cone to establish existence of solutions by means of fixed point index theory.

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