Nikolaos Socrates Papageorgiou (Author), Vicenţiu Rǎdulescu (Author), Dušan Repovš (Author)

Abstract

We 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 ▫$1^-$▫.

Keywords

Nehari manifold;continuous spectrum;nonlinear regularity theory;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 18602073 Link will open in a new window
ISSN: 0002-9939
Views: 543
Downloads: 298
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 2899-2910
Volume: ǂVol. ǂ147
Issue: ǂno. ǂ7
Chronology: Jul. 2019
DOI: 10.1090/proc/14466
ID: 11194160