An existence theorem for semi-linear elliptic systems

Academic Article


  • We study the following boundary value problem of semi-linear elliptic systems (Equation) where Ω c ℝ,n (n > 2) is a connected and bounded smooth domain, and u and f are real vector-valued functions. Under appropriate conditions on the function f, we establish a general existence result for positive solutions. We continue our earlier works [15, 16, 17] and, in particular, remove a requirement of the cooperative structure on elliptic systems. As examples, we consider the stationary Klein-Gordon-Maxwell system and Maxwell-Schrodinger system, both lacking the cooperative structure.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Zou H
  • Start Page

  • 773
  • End Page

  • 789
  • Volume

  • 13
  • Issue

  • 3