Publication result detail

Infinitely many smooth nodal solutions for Orlicz Robin problems

BAHROUNI, A.; MISSAOUI, H.; RADULESCU, V.

Original Title

Infinitely many smooth nodal solutions for Orlicz Robin problems

English Title

Infinitely many smooth nodal solutions for Orlicz Robin problems

Type

WoS Article

Original 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.

English 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.

Keywords

Nodal solutions;Orlicz-Sobolev spaces;Robin boundary value;Regularity

Key words in English

Nodal solutions;Orlicz-Sobolev spaces;Robin boundary value;Regularity

Authors

BAHROUNI, A.; MISSAOUI, H.; RADULESCU, V.

RIV year

2024

Released

17.08.2023

Publisher

Elsevier

ISBN

1873-5452

Periodical

Applied Mathematics Letters

Volume

142

Number

1

State

United States of America

Pages from

1

Pages to

7

Pages count

7

URL

https://www.sciencedirect.com/science/article/pii/S0893965923000678

Full text in the Digital Library

http://hdl.handle.net/11012/245041

BibTex

@article{BUT184003,
  author="Anouar {Bahrouni} and Hlel {Missaoui} and Vicentiu {Radulescu}",
  title="Infinitely many smooth nodal solutions for Orlicz Robin problems",
  journal="Applied Mathematics Letters",
  year="2023",
  volume="142",
  number="1",
  pages="1--7",
  doi="10.1016/j.aml.2023.108635",
  issn="0893-9659",
  url="https://www.sciencedirect.com/science/article/pii/S0893965923000678"
}

Documents

1-s2.0-S0893965923000678-main