Detail publikačního výsledku

Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator

CAI, L.; PAPAGEORGIOU, N.; RADULESCU, V.

Originální název

Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator

Anglický název

Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator

Druh

Článek WoS

Originální abstrakt

We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.

Anglický abstrakt

We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.

Klíčová slova

Double phase differential operator;Extremal constant sign solutions;Critical groups;Generalized Orlicz spaces

Klíčová slova v angličtině

Double phase differential operator;Extremal constant sign solutions;Critical groups;Generalized Orlicz spaces

Autoři

CAI, L.; PAPAGEORGIOU, N.; RADULESCU, V.

Rok RIV

2024

Vydáno

04.07.2023

Nakladatel

Springer Nature

ISSN

1661-8262

Periodikum

Complex Analysis and Operator Theory

Svazek

17

Číslo

5

Stát

Švýcarská konfederace

Strany od

1

Strany do

28

Strany počet

28

URL

https://link.springer.com/article/10.1007/s11785-023-01379-z

Plný text v Digitální knihovně

http://hdl.handle.net/11012/244986

BibTex

@article{BUT184000,
  author="Li {Cai} and Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu}",
  title="Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator",
  journal="Complex Analysis and Operator Theory",
  year="2023",
  volume="17",
  number="5",
  pages="1--28",
  doi="10.1007/s11785-023-01379-z",
  issn="1661-8254",
  url="https://link.springer.com/article/10.1007/s11785-023-01379-z"
}

Dokumenty

s11785-023-01379-z