Pointwise bounds and blow-up for nonlinear polyharmonic inequalities Academic Article uri icon


  • We obtain results for the following question where m≥1 and n≥2 are integers. Question. For which continuous functions f:[0,∞)→[0, ∞) does there exist a continuous function φ:(0,1)→(0,∞) such that every C2m nonnegative solution u(x) of0≤- Δmu≤f(u)inB2(0){0}Cℝn satisfiesu(x)=O(φ(|x|))asx→0 and what is the optimal such φ when one exists? © 2013 Elsevier Masson SAS. All rights reserved.

published proceedings

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

altmetric score

  • 0.5

author list (cited authors)

  • Taliaferro, S. D

citation count

  • 2

complete list of authors

  • Taliaferro, Steven D

publication date

  • November 2013