Detail publikačního výsledku

Elliptic equations with (p,q)-growth and competition phenomena

PAPAGEORGIOU, N.; QIN, D.; RADULESCU, V.

Originální název

Elliptic equations with (p,q)-growth and competition phenomena

Anglický název

Elliptic equations with (p,q)-growth and competition phenomena

Druh

Článek WoS

Originální abstrakt

We consider a Dirichlet problem driven by a differential operator with (p,q)-growth (double phase equation) and a reaction which exhibits the competing effects of “sublinear” and “superlinear” nonlinearities (concave-convex problem). Using the critical point theory, together with truncation and comparison techniques and critical groups, we prove an existence and multiplicity theorem, which is global in the parameter λ>0 (a bifurcation-type theorem).

Anglický abstrakt

We consider a Dirichlet problem driven by a differential operator with (p,q)-growth (double phase equation) and a reaction which exhibits the competing effects of “sublinear” and “superlinear” nonlinearities (concave-convex problem). Using the critical point theory, together with truncation and comparison techniques and critical groups, we prove an existence and multiplicity theorem, which is global in the parameter λ>0 (a bifurcation-type theorem).

Klíčová slova

Critical groups; Generalized Orlicz spaces; Minimal positive solutions; Multiplicity of solutions; Unbalanced growth

Klíčová slova v angličtině

Critical groups; Generalized Orlicz spaces; Minimal positive solutions; Multiplicity of solutions; Unbalanced growth

Autoři

PAPAGEORGIOU, N.; QIN, D.; RADULESCU, V.

Rok RIV

2026

Vydáno

04.08.2025

ISSN

1090-2732

Periodikum

Journal of Differential Equations

Svazek

435

Číslo

2025

Stát

Spojené státy americké

Strany počet

38

URL

https://doi-org.ezproxy.lib.vutbr.cz/10.1016/j.jde.2025.113304

BibTex

@article{BUT198523,
  author="Nikolaos S. {Papageorgiou} and Dongdong {Qin} and Vicentiu {Radulescu}",
  title="Elliptic equations with (p,q)-growth and competition phenomena",
  journal="Journal of Differential Equations",
  year="2025",
  volume="435",
  number="2025",
  pages="38",
  doi="10.1016/j.jde.2025.113304",
  issn="0022-0396",
  url="https://doi-org.ezproxy.lib.vutbr.cz/10.1016/j.jde.2025.113304"
}