A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications

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

We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet boundary condition.

• Language: English
• Keywords: p(x)-Laplace operator, Caffarelli-Kohn-Nirenberg inequality, multiple solutions, fountain theorem
• 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. 1516-1534
• Numbering: Vol. 31, no. 3
• PID: 20.500.12556/RUL-109335
• UDC: 517.956.2
• ISSN on article: 0951-7715
• DOI: 10.1088/1361-6544/aaa5dd
• COBISS.SI-ID: 18282329
• Publication date in RUL: 30.08.2019

Record is a part of a journal

• Title: Nonlinearity
• Shortened title: Nonlinearity
• Publisher: IOP Pub.
• ISSN: 0951-7715
• COBISS.SI-ID: 28749569