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

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We study the 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… Click to show full abstract

We study the 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 new cone to establish the existence of solutions by means of fixed point index theory.

Keywords: gradient nonlocal; exterior domains; depending gradient; elliptic systems; systems depending; coupled elliptic

Journal Title: Boundary Value Problems
Year Published: 2019

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