Anouar Bahrouni (Author), Dušan Repovš (Author)

Abstract

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.

Keywords

Caffarelli-Kohn-Nirenberg inequality;eigenvalue problem;critical point theorem;generalized Lebesgue-Sobolev space;Luxemburg norm;

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: 20739843 Link will open in a new window
ISSN: 1660-5446
Views: 461
Downloads: 266
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Other data

Secondary language: English
Type (COBISS): Article
Pages: art. 111 (9 str.)
Volume: ǂVol. ǂ17
Issue: ǂiss. ǂ4
Chronology: Aug. 2020
DOI: 10.1007/s00009-020-01551-1
ID: 11866324