A priori estimates and existence for strongly coupled non-linear schrodinger systems

Academic Article

Abstract

  • We study the following system of non-linear Schrodinger equations where Ω Rn (n ≥ 2) is a bounded smooth domain, and ai bi di si ε R and pi = pi1, . . ., pik are constants (for notation, see the first paragraph below). Under appropriate conditions, we derive a priori estimates and existence of positive solutions for arbitrary k ≥ 2, extending the earlier results of [14] for k = 2 to all k≥2. © Taylor & Francis Group, LLC.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Zou H
  • Start Page

  • 1398
  • End Page

  • 1424
  • Volume

  • 34
  • Issue

  • 11