Global multiplicity for parametric anisotropic Neumann $(p,q)$-equations

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: anisotropic operator, superlinear reaction, positive and nodal solutions, critical groups
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2023
• Number of pages: Str. 393-422
• Numbering: Vol. 61, no. 1
• PID: 20.500.12556/RUL-145679
• UDC: 517.956
• ISSN on article: 1230-3429
• DOI: 10.12775/TMNA.2022.010
• COBISS.SI-ID: 143318019
• Publication date in RUL: 08.05.2023

Record is a part of a journal

• Title: Topological Methods in Nonlinear Analysis
• Shortened title: Topol. Methods Nonlinear Anal.
• Publisher: Juliusz Schauder Center for Nonlinear Studies
• ISSN: 1230-3429
• COBISS.SI-ID: 14203653

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0292
• Name: Topologija in njena uporaba

• Funder: Other - Other funder or multiple funders
• Funding programme: Romanian Ministry of Research, Innovation and Digitization, CNCS/CCCDI–UEFISCDI
• Project number: PCE 137/2021
• Name: PNCDI III