Singular semilinear elliptic inequalities in the exterior of a compact set | Academic Article individual record
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.

publication outlet

Proceedings of the Royal Society of Edinburgh: Section A Mathematics

author list (cited authors)
Ghergu, M., & Taliaferro, S. D.
publication date
2013
keywords
  • 10 Reduced Inequalities
citation count

1

identifier
165414SE
Digital Object Identifier (DOI)
start page
563
end page
588
volume
143
issue
3
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