Existence and non-existence for schrödinger equations involving critical sobolev exponents

Academic Article


  • We study existence of positive solutions of the classical nonlinear Schrödinger equation. In fact, we consider the following more general quasi-linear Schrödinger equation. The corresponding critical Sobolev embedding number in Rn. Under appropriate conditions on the functions V (x), f(x, u) and H(x), existence and non-existence results of positive solutions have been established. © 2010 The Korean Mathematical Society.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Zou H
  • Start Page

  • 547
  • End Page

  • 572
  • Volume

  • 47
  • Issue

  • 3