New multiple positive solutions for elliptic equations with singularity and critical growth

Hong-Min Suo, Chun-Yu Lei, Jiafeng Liao
2019 Electronic Journal of Qualitative Theory of Differential Equations  
In this note, the existence of multiple positive solutions is established for a semilinear elliptic equation N−2 , γ ∈ (0, 1) and λ > 0 is a real parameter. We show by the variational methods and perturbation functional that the problem has at least two positive solutions w 0 (x) and w 1 (x) with w 0 (x) < w 1 (x) in Ω.
doi:10.14232/ejqtde.2019.1.20 fatcat:xzpvswjfg5fwjbaz3hefcmqgyu