Publication result detail

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

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

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

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

RIV year

2024

Released

04.07.2023

Publisher

Springer Nature

ISBN

1661-8262

Periodical

Complex Analysis and Operator Theory

Volume

17

Number

5

State

Swiss Confederation

Pages from

1

Pages to

28

Pages count

28

URL

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

Full text in the Digital Library

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"
}

Documents

s11785-023-01379-z