Detail publikačního výsledku

Small perturbations of convective singular eigenvalue problems

AHMED, A.; PAPAGEORGIOU, N.; RADULESCU, V.

Originální název

Small perturbations of convective singular eigenvalue problems

Anglický název

Small perturbations of convective singular eigenvalue problems

Druh

Článek WoS

Originální abstrakt

We consider a nonlinear Dirichlet problem with gradient dependence. The features of this paper are twofold: (i) the problem is driven by a general nonlinear nonhomogeneous differential operator with Uhlenbeck-Lieberman structure; (ii) the reaction blows-up at the origin and it is gradient dependent. Using a topological approach based on fixed point theory, we show that for all small values of lambda > 0 there are "eigenvalues" of the problem with smooth corresponding eigenfunctions.

Anglický abstrakt

We consider a nonlinear Dirichlet problem with gradient dependence. The features of this paper are twofold: (i) the problem is driven by a general nonlinear nonhomogeneous differential operator with Uhlenbeck-Lieberman structure; (ii) the reaction blows-up at the origin and it is gradient dependent. Using a topological approach based on fixed point theory, we show that for all small values of lambda > 0 there are "eigenvalues" of the problem with smooth corresponding eigenfunctions.

Klíčová slova

Hardy’s inequality; Leray–Schauder alternative principle; Nonlinear maximum principle; Nonlinear regularity; Truncation

Klíčová slova v angličtině

Hardy’s inequality; Leray–Schauder alternative principle; Nonlinear maximum principle; Nonlinear regularity; Truncation

Autoři

AHMED, A.; PAPAGEORGIOU, N.; RADULESCU, V.

Vydáno

02.05.2026

Periodikum

Applied Mathematics Letters

Svazek

176

Číslo

109860

Stát

Spojené státy americké

Strany počet

5

URL

https://www.sciencedirect.com/science/article/pii/S0893965925004100?pes=vor&utm_source=clarivate&getft_integrator=clarivate

BibTex

@article{BUT200331,
  author="{} and Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu}",
  title="Small perturbations of convective singular eigenvalue problems",
  journal="Applied Mathematics Letters",
  year="2026",
  volume="176",
  number="109860",
  pages="5",
  doi="10.1016/j.aml.2025.109860",
  issn="0893-9659",
  url="https://www.sciencedirect.com/science/article/pii/S0893965925004100?pes=vor&utm_source=clarivate&getft_integrator=clarivate"
}