Infinitely many smooth nodal solutions for Orlicz Robin problems

Thumbnail Image
Files
1s2.0S0893965923000678main.pdf(687.78 KB)
Date
2023-08-17
Authors
Bahrouni, Anouar
Missaoui, Hlel
Radulescu, Vicentiu
ORCID
0000-0003-4615-5537
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Altmetrics
Abstract
In this note, we study a Robin problem driven by the Orlicz g-Laplace operator. In particular, by using a regularity result and Kajikiya's theorem, we prove that the problem has a whole sequence of distinct smooth nodal solutions converging to the trivial one. The analysis is developed in the most general abstract setting that corresponds to Orlicz-Sobolev function spaces.
Description
Keywords
Nodal solutions, Orlicz-Sobolev spaces, Robin boundary value, Regularity
Citation
APPLIED MATHEMATICS LETTERS. 2023, vol. 142, issue 1, p. 1-7.
https://www.sciencedirect.com/science/article/pii/S0893965923000678
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
DOI
10.1016/j.aml.2023.108635
URI
http://hdl.handle.net/11012/245041
Collections
Ústav matematiky
Citace PRO