Publication result detail

GLOBAL MULTIPLICITY FOR PARAMETRIC ANISOTROPIC NEUMANN (p, q)-EQUATIONS

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

Original Title

GLOBAL MULTIPLICITY FOR PARAMETRIC ANISOTROPIC NEUMANN (p, q)-EQUATIONS

English Title

GLOBAL MULTIPLICITY FOR PARAMETRIC ANISOTROPIC NEUMANN (p, q)-EQUATIONS

Type

WoS Article

Original Abstract

We consider a Neumann boundary value problem driven by the anisotropic (p, q)-Laplacian plus a parametric potential term. The reaction is "superlinear". We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.

English abstract

We consider a Neumann boundary value problem driven by the anisotropic (p, q)-Laplacian plus a parametric potential term. The reaction is "superlinear". We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.

Keywords

Anisotropic operator;superlinear reaction;positive and nodal solutions;critical groups

Key words in English

Anisotropic operator;superlinear reaction;positive and nodal solutions;critical groups

Authors

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

RIV year

2024

Released

28.03.2023

Publisher

Juliusz Schauder University Centre for Nonlinear Studies

ISBN

1230-3429

Periodical

Topological Methods in Nonlinear Analysis

Volume

61

Number

1

State

Republic of Poland

Pages from

393

Pages to

422

Pages count

30

URL

https://apcz.umk.pl/TMNA/article/view/42809

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT185050,
  author="Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu} and Dušan {Repovs}",
  title="GLOBAL MULTIPLICITY FOR PARAMETRIC ANISOTROPIC NEUMANN (p, q)-EQUATIONS",
  journal="Topological Methods in Nonlinear Analysis",
  year="2023",
  volume="61",
  number="1",
  pages="393--422",
  doi="10.12775/TMNA.2022.010",
  issn="1230-3429",
  url="https://apcz.umk.pl/TMNA/article/view/42809"
}