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.
Highlights
1 Introduction In this paper, we study the existence and multiplicity of positive radial solutions for the coupled elliptic system
Many papers study the existence of radial solutions of elliptic equations in the exterior part of a ball
The existence of positive radial solutions of elliptic equations with nonlinearities depending on the gradient subject to Neumann, Dirichlet, or Robin boundary conditions has been investigated by a number of authors; see, for example, Averna et al [5], Cianciaruso et al [8, 9, 12], De Figueiredo et al [13, 14], Faria et al [22], and Montreanu et al [36]
Summary
1 Introduction In this paper, we study the existence and multiplicity of positive radial solutions for the coupled elliptic system Many papers study the existence of radial solutions of elliptic equations in the exterior part of a ball.
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