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

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 th...

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Bibliographic Details
Published in:Boundary value problems 2020-05, Vol.2020 (1), p.1-17, Article 87
Main Authors: Cianciaruso, Filomena, Muglia, Luigi, Pietramala, Paolamaria
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Boundary conditions
Cone
Dependence on the gradient
Difference and Functional Equations
Domains
Elliptic system
Fixed point index
Mathematics
Mathematics and Statistics
Nonlocal boundary conditions
Ordinary Differential Equations
Partial Differential Equations
Positive solution
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Summary: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
1687-2762
1687-2770
DOI:10.1186/s13661-020-01384-7