Local behavior and global existence of positive solutions of au(lambda) <=-triangle u <= u(lambda) Academic Article

abstract

• We study the behavior near the origin of C2 positive solutions u(x) of au - u u in a punctured neighborhood of the origin in n (n > 2) where the constants and a satisfy nn-2 < < n+2/n-2 and 0 < a < 1. We also study the existence of C2 positive solutions of (*) in n. 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 ditions scientifiques et mdicales Elsevier SAS.

authors

• Taliaferro, Steven

published proceedings

• ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

author list (cited authors)

• Taliaferro, S. D.

citation count

• 5

complete list of authors

• Taliaferro, SD

publication date

• December 2002

publisher

• European Mathematical Society - EMS - Publishing House GmbH  Publisher

published in

• Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire  Journal

keywords

• 49 Mathematical Sciences
• 4903 Numerical And Computational Mathematics

Digital Object Identifier (DOI)

• 10.1016/S0294-1449(02)00105-1

start page

• 889

end page

• 901

volume

• 19

issue

• 6

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fs0294-1449%2802%2900105-1