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

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

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...

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Bibliographic Details
Main Authors: Filomena Cianciaruso, Luigi Muglia, Paolamaria Pietramala
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Boundary Value Problems
Subjects:
Elliptic system
Dependence on the gradient
Nonlocal boundary conditions
Fixed point index
Cone
Positive solution
Online Access:http://link.springer.com/article/10.1186/s13661-020-01384-7
Description
Summary: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.
ISSN:1687-2770

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