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

Abstract

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.

Keywords

p(x)-Laplace operator;Caffarelli-Kohn-Nirenberg inequality;multiple solutions;fountain theorem;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956.2
COBISS: 18282329 Link will open in a new window
ISSN: 0951-7715
Views: 484
Downloads: 311
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 1516-1534
Volume: ǂVol. ǂ31
Issue: ǂno. ǂ3
Chronology: 2018
DOI: 10.1088/1361-6544/aaa5dd
ID: 11211151