Nodal solutions for nonlinear nonhomogeneous Robin problems

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

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carathéodory function satisfying certain conditions only near zero. Using suitable truncation, comparison and cut-off techniques, we show that the problem has a sequence of nodal solutions converging to zero in the ▫$C^1(\overline{\Omega})$▫-norm.

• Language: English
• Keywords: nodal solutions, indefinite potential, nonhomogeneous differential operator, nonlinear regularity theory, truncation and cut-off techniques
• 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. 721-738
• Numbering: Vol. 29, iss. 4
• PID: 20.500.12556/RUL-109291
• UDC: 517.956
• ISSN on article: 1120-6330
• DOI: 10.4171/RLM/831
• COBISS.SI-ID: 18514777
• Publication date in RUL: 29.08.2019

Record is a part of a journal

• Title: Atti della Accademia nazionale dei Lincei
• Shortened title: Atti Accad. naz. Lincei, Rend. Lincei, Mat. appl.
• Publisher: Accademia nazionale dei Lincei, EMS Publishing House
• ISSN: 1120-6330
• COBISS.SI-ID: 15928665