Double-phase problems and a discontinuity property of the spectrumPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) Nehari manifoldcontinuous spectrumnonlinear regularity theoryWe consider a nonlinear eigenvalue problem driven by the sum of ▫$p$▫ and ▫$q$▫-Laplacians. We show that the problem has a continuous spectrum. Our result reveals a discontinuity property for the spectrum of a parametric ▫$(p,q)$▫-differential operator as the parameter ▫$\beta $▫ goes to ▫$1^-$▫.20192019-07-26 07:52:44Članek v reviji108798UDK: 517.956ISSN pri članku: 0002-9939DOI: 10.1090/proc/14466COBISS_ID: 18602073OceCobissID: 2335236sl