Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains

2019/12/29 by Cianciaruso, F., Muglia, L., Pietramala, P.
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1912.12647

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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