Pairs of positive solutions for resonant singular equations with the $p$-Laplacian
Νικόλαος Παπαγεωργίου, Vicenţiu D. Rădulescu, Dušan Repovš · arXiv (Cornell University) · 2017
We consider a nonlinear elliptic equation driven by the Dirichlet $p$-Laplacian with a singular term and a $(p-1)$-linear perturbation which is resonant at $+\\infty$ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, we show the existence of at least two positive smooth solutions.