Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
Abstract
Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and
unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing
continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and
p ∈ (0,1). We study existence and nonexistence of strictly positive solutions for nonlinear
elliptic problems of the form −∆u = m (x) f (u) in Ω, u = 0 on ∂Ω.
xmlui.dri2xhtml.METS-1.0.item-citation
Godoy, T. & Kaufmann, U. (2014). Existence of Strictly Positive Solutions for Sublinear Elliptic Problems in Bounded Domains. Advanced Nonlinear Studies, 14(2), 353-359. https://doi.org/10.1515/ans-2014-0207