In this paper, we consider a nonlinear elliptic system which is an extension of the single equation derived by investigating the stationary states of the nonlinear Schrödinger equation. We establish the existence and uniqueness of solutions to the Dirichlet problem on the ball and entire space as the parameters within certain regions. In addition, a complete structure of different types of solutions for the radial case is also provided.
|Number of pages||24|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|Publication status||Published - 2019 Oct 1|
All Science Journal Classification (ASJC) codes