Low perturbations for a class of nonuniformly elliptic problems

Bahrouni, Anouar (author), Repovš, Dušan (author)

In this paper, we introduce and study a new functional which was motivated by the work of Bahrouni et al. (Nonlinearity 31:1518-1534, 2018) on the Caffarelli-Kohn-Nirenberg inequality with variable exponent. We also study the eigenvalue problem for equations involving this new functional.

• Language: English
• Keywords: Caffarelli-Kohn-Nirenberg inequality, eigenvalue problem, critical point theorem, generalized Lebesgue-Sobolev space, Luxemburg norm
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2020
• Number of pages: art. 111 (9 str.)
• Numbering: Vol. 17, iss. 4
• PID: 20.500.12556/RUL-117164
• UDC: 517.956.2
• ISSN on article: 1660-5446
• DOI: 10.1007/s00009-020-01551-1
• COBISS.SI-ID: 20739843
• Publication date in RUL: 26.06.2020

Record is a part of a journal

• Title: Mediterranean journal of mathematics
• Shortened title: Mediterr. j. math.
• Publisher: Springer Nature, Birkhäuser
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433