On the uniqueness and structure of solutions to a coupled elliptic system
نویسندگان
چکیده
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. In addition, the nonexistence of the ground state solutions under certain conditions on the nonlinearities and the complete structure of different types of solutions to the shooting problem are proved. Mathematics Subject Classification (2000) : 35J60 ∗Corresponding Author. Work partially supported by National Science Council of Taiwan. †Partially supported by National Natural Science Foundation of China (10671049), Longjiang Professorship, National Science Foundation of US; part of this work was done when J. Shi visited National Central University in May 2009, and he would like to thank NCU for warm hospitality.
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تاریخ انتشار 2009