Singular semilinear elliptic inequalities in the exterior of a compact set Academic Article uri icon

abstract

  • We study the semilinear elliptic inequality u (K (x))f(u) in N / K, where , f are positive and non-increasing continuous functions. Here K N (N 3) is a compact set with finitely many components, each of which is either the closure of a C2 domain or an isolated point, and K (x) = dist(x, K). We obtain optimal conditions in terms of and f for the existence of C2-positive solutions. Under these conditions we prove the existence of a minimal solution and we investigate its behaviour around K as well as the removability of the (possible) isolated singularities.

published proceedings

  • PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

author list (cited authors)

  • Ghergu, M., & Taliaferro, S. D.

citation count

  • 1

complete list of authors

  • Ghergu, Marius||Taliaferro, Steven D

publication date

  • June 2013