Local behavior and global existence of positive solutions of auλ⩽−Δu⩽uλ Academic Article uri icon

abstract

  • We study the behavior near the origin of C2 positive solutions u(x) of auλ ≤ - Δu ≤ uλ in a punctured neighborhood of the origin in ℝn (n > 2) where the constants λ and a satisfy nn-2 < λ < n+2/n-2 and 0 < a < 1. We also study the existence of C2 positive solutions of (*) in ℝn. In both cases we show that changing a from one value in the open interval (0, 1) to another value in (0, 1) can have a dramatic effect. © 2002 Éditions scientifiques et médicales Elsevier SAS.

published proceedings

  • Annales de l'Institut Henri Poincaré C, Analyse non linéaire

author list (cited authors)

  • Taliaferro, S. D

citation count

  • 4

complete list of authors

  • Taliaferro, Steven D

publication date

  • November 2002