Robin problems with a general potential and a superlinear reaction

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

We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosett-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques and Morse theory (critical groups).

• Language: English
• Keywords: indefinite potential, Robin boundary condition, critical groups, superlinear reaction term, regularity theory, critical groups, nodal solutions
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2017
• Number of pages: Str. 3244-3290
• Numbering: Vol. 263, iss. 6
• PID: 20.500.12556/RUL-110047
• UDC: 517.956.2
• ISSN on article: 0022-0396
• DOI: 10.1016/j.jde.2017.04.032
• COBISS.SI-ID: 18034521
• Publication date in RUL: 11.09.2019

Record is a part of a journal

• Title: Journal of differential equations
• Shortened title: J. differ. equ.
• Publisher: Elsevier
• ISSN: 0022-0396
• COBISS.SI-ID: 25730560