Nodal solutions for the Robin ▫$p$▫-Laplacian plus an indefinite potential and a general reaction term

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

We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in ▫$C^1(\overline{\Omega})$▫.

• Language: English
• Keywords: Robin p-Laplacian, indefinite potential, nodal solutions, truncation techniques, comparison principle
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 231-241
• Numbering: Vol. 17, no. 1
• PID: 20.500.12556/RUL-109144
• UDC: 517.956.2
• ISSN on article: 1534-0392
• DOI: 10.3934/cpaa.2018014
• COBISS.SI-ID: 18124633
• Publication date in RUL: 23.08.2019

Record is a part of a journal

• Title: Communications on pure and applied analysis
• Shortened title: Commun. pure appl. anal.
• Publisher: AIMS Press
• ISSN: 1534-0392
• COBISS.SI-ID: 15066457