Critical singular problems on infinite cones Original Research Article

We prove existence results for non autonomous perturbations of critical singular elliptic boundary value problems. The non singular case was treated by Tarantello (Ann. Inst. H. Poincaré, Analyse Non-linéaire 9 (1992) 281) for bounded domains; here the singular weight allows for unbounded domains as cones and give rise to a different non compactness picture (as was first remarked by Caldiroli and Musina (Calc. Variations PDE 8 (1999) 365)).