Multiplicity of positive solutions for a singular and critical elliptic problem in R<SUP>2</SUP>
- Adimurthi,
- Giacomoni, Jacques
DOIAbstract
In this paper, we are interested in the following singular problem: (P) {-Δu=λ(p(x)/uδ+h(x,u)e4πu2u|∂Ω=0, u > 0 in Ω in Ω ⊂ R2 where 0 < p ∈ L∞, λ > 0, 0< δ < 3, Ω a smooth bounded domain. We show on suitable conditions on h there exist two solutions in H10(Ω). Investigating the radial case, we are able to prove that the condition at infinity for h is optimal for getting the existence of the second solution
Add to ORKG