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

Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains

filomena cianciaruso;paolamaria pietramala
2021

Abstract

We study existence and multiplicity of positive radial solutions for a semipositone coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the Neumann boundary conditions are nonlocal. We use a nonstandard cone to establish existence of multiple solutions by means of fixed point index theory.
Neumann elliptic system, dependence on the gradient, nonlocal boundary conditions, fixed point index, cone, positive solution
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/307415
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