Xianjin Chen

Learn More
A local min-max-orthogonal method together with its mathematical justification is developed in this paper to solve noncooperative elliptic systems for multiple solutions in an order. First it is discovered that a non-cooperative system has the nature of a zero-sum game. A new local characterization for multiple unstable solutions is then established, under(More)
Blowup ring profiles have been investigated by finding non-vortex blowup solutions of nonlinear Schrödinger equations (NLSE) (cf. [5] and [6]). However, those solutions have infinite L 2 norm so one may not maintain the ring profile all the way up to the singularity. To find H 1 non-vortex blowup solutions with ring profiles, we study blowup solutions of(More)
  • 1