• Title of article

    Some Liouville theorems for Hénon type elliptic equations ✩

  • Author/Authors

    Chao Wang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    23
  • From page
    1705
  • To page
    1727
  • Abstract
    We investigate here the nonlinear elliptic equations − u = |x|αeu and − u = |x|α|u|p−1u with α >−2, p >1 and N 2. In particular, we prove some Liouville type theorems for weak solutions with finite Morse index in the low dimensional Euclidean spaces or half spaces. © 2011 Elsevier Inc. All rights reserved.
  • Keywords
    Liouville theorem , Hénon equation , stability , Finite Morse index solution
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2012
  • Journal title
    Journal of Functional Analysis
  • Record number

    840657