Detail publikačního výsledku

Nonlinear double phase eigenvalue problems

PAPAGEORGIOU, N.; RADULESCU, V.; ZHANG, W.

Originální název

Nonlinear double phase eigenvalue problems

Anglický název

Nonlinear double phase eigenvalue problems

Druh

Článek WoS

Originální abstrakt

We consider a nonlinear eigenvalue problem driven by the double phase differential operator. We prove two existence theorems, both producing a continuous spectrum and the first generates eigenfunctions which blow up in the W-0(1,theta) (Omega) boolean AND L (R) (Omega)-norm ( 1 < q < p < r < q & lowast; ) , while the second generates eigenfunctions which vanish in the W-0(1,theta)(Omega) boolean AND L-infinity (Omega) -norm as lambda -> 0(+).

Anglický abstrakt

We consider a nonlinear eigenvalue problem driven by the double phase differential operator. We prove two existence theorems, both producing a continuous spectrum and the first generates eigenfunctions which blow up in the W-0(1,theta) (Omega) boolean AND L (R) (Omega)-norm ( 1 < q < p < r < q & lowast; ) , while the second generates eigenfunctions which vanish in the W-0(1,theta)(Omega) boolean AND L-infinity (Omega) -norm as lambda -> 0(+).

Klíčová slova

Unbalanced growth;generalized Orlicz spaces;continuous spectrum;bounded eigenfunctions;mountain pass theorem

Klíčová slova v angličtině

Unbalanced growth;generalized Orlicz spaces;continuous spectrum;bounded eigenfunctions;mountain pass theorem

Autoři

PAPAGEORGIOU, N.; RADULESCU, V.; ZHANG, W.

Rok RIV

2026

Vydáno

07.01.2026

Periodikum

MATHEMATICS AND MECHANICS OF SOLIDS

Svazek

31

Číslo

3

Stát

Spojené království Velké Británie a Severního Irska

Strany od

580

Strany do

595

Strany počet

16

URL

https://journals.sagepub.com/doi/abs/10.1177/10812865251397537?src=getftr&getft_integrator=clarivate&utm_source=clarivate

BibTex

@article{BUT201741,
  author="Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu} and Wen {Zhang}",
  title="Nonlinear double phase eigenvalue problems",
  journal="MATHEMATICS AND MECHANICS OF SOLIDS",
  year="2026",
  volume="31",
  number="3",
  pages="16",
  doi="10.1177/10812865251397537",
  issn="1081-2865",
  url="https://journals.sagepub.com/doi/abs/10.1177/10812865251397537?src=getftr&getft_integrator=clarivate&utm_source=clarivate"
}