Multiple mixed states of nodal solutions for nonlinear Schrodinger systems

作者：Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-qiang^*

来源：Calculus of Variations and Partial Differential Equations, 2015, 52(3-4): 565-586.

DOI：10.1007/s00526-014-0724-y

• SIGN-CHANGING SOLUTIONS
• CRITICAL-POINT THEORY
• BOUND-STATES
• POSITIVE SOLUTIONS
• PHASE-SEPARATION
• GROUND-STATES
• EQUATIONS

In this paper we develop a general critical point theory to deal with existence and locations of multiple critical points produced by minimax methods in relation to multiple invariant sets of the associated gradient flow. The motivation is to study non-trivial nodal solutions with each component sign-changing for a class of nonlinear Schrodinger systems which arise from Bose-Einstein condensates theory. Our general method allows us to obtain infinitely many mixed states of nodal solutions for the repulsive case.

• 出版日期2015-3
• 单位南开大学; 云南师范大学; 北京大学