Detail publikačního výsledku

Anisotropic Robin problems with indefinite potential

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

Originální název

Anisotropic Robin problems with indefinite potential

Anglický název

Anisotropic Robin problems with indefinite potential

Druh

Článek WoS

Originální abstrakt

We considered a nonlinear elliptic boundary value problem driven by the variable (anisotropic) (p, q)-Laplacian with Robin boundary condition and a superlinear reaction which does not satisfy the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation and comparison techniques and critical groups, we showed the existence of five nontrivial smooth solutions all with sign information and ordered.

Anglický abstrakt

We considered a nonlinear elliptic boundary value problem driven by the variable (anisotropic) (p, q)-Laplacian with Robin boundary condition and a superlinear reaction which does not satisfy the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation and comparison techniques and critical groups, we showed the existence of five nontrivial smooth solutions all with sign information and ordered.

Klíčová slova

variable exponents, regularity theory, constant sign and nodal solutions, critical point theory, critical groups

Klíčová slova v angličtině

variable exponents, regularity theory, constant sign and nodal solutions, critical point theory, critical groups

Autoři

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

Rok RIV

2026

Vydáno

03.12.2025

Nakladatel

AIMS Press

Periodikum

Electronic Research Archive

Svazek

33

Číslo

11

Stát

Spojené státy americké

Strany od

6844

Strany do

6864

Strany počet

21

URL

https://www.aimspress.com/article/doi/10.3934/era.2025302

Plný text v Digitální knihovně

http://hdl.handle.net/11012/255857

BibTex

@article{BUT199828,
  author="Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu} and Jian {Zhang}",
  title="Anisotropic Robin problems with indefinite potential",
  journal="Electronic Research Archive",
  year="2025",
  volume="33",
  number="11",
  pages="6844--6864",
  doi="10.3934/era.2025302",
  url="https://www.aimspress.com/article/doi/10.3934/era.2025302"
}