Resonant Robin problems driven by the ▫$p$▫-Laplacian plus an indefinite potential

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

We consider a nonlinear Robin problems driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical gropus we prove existence and multiplicity theorems.

• Language: English
• Keywords: p-Laplacian, indefinite potential, resonance, strong resonance, variational eigenvalue, nonlinear regularity, critical groups, Robin boundary condition
• 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. 483-508
• Numbering: Vol. 43, fasc. 1
• PID: 20.500.12556/RUL-109121
• UDC: 517.956.2
• ISSN on article: 1239-629X
• DOI: 10.5186/aasfm.2018.4331
• COBISS.SI-ID: 18238809
• Publication date in RUL: 22.08.2019

Record is a part of a journal

• Title: Annales Academiae scientiarum Fennicae
• Shortened title: Ann. Acad. sci. Fenn., Math.
• Publisher: Suomalainen tiedeakatemia
• ISSN: 1239-629X
• COBISS.SI-ID: 8006745