Multiple perturbations of a singular eigenvalue problemCencelj, Matija (Avtor) Repovš, Dušan (Avtor) Virk, Žiga (Avtor) critical Sobolev exponentindefinite singular potentialprincipal eigenvalueconcentration-compactnesssingularityWe study the perturbation by a critical term and a ▫$(p-1)$▫-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle in the singular case, we prove the existence of solutions for positive values of the parameter under the principal eigenvalue of the associated singular eigenvalue problem.20152019-09-30 09:38:16Članek v reviji111406UDK: 517.951ISSN pri članku: 0362-546XDOI: 10.1016/j.na.2014.07.015COBISS_ID: 17086297OceCobissID: 26027520sl