Publication detail

Nodal solutions for the nonlinear Robin problem in Orlicz spaces

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

Original Title

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper we consider a non-linear Robin problem driven by the Orlicz g-Laplacian operator. Using variational technique combined with a suitable truncation and Morse theory (critical groups), we prove two multiplicity theorems with sign information for all the solutions. In the first theorem, we establish the existence of at least two non-trivial solutions with fixed sign. In the second, we prove the existence of at least three non-trivial solutions with sign information (one positive, one negative, and the other change sign) and order. The result of the nodal solution is new for the non-linear g-Laplacian problems with the Robin boundary condition.

Keywords

Constant sign solutions; Critical groups; g-Laplacian; Nodal solutions; Orlicz–Sobolev space; Robin boundary value; Truncated functional

Authors

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

Released

7. 2. 2025

ISBN

1878-5719

Periodical

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Year of study

Number

104186

State

Kingdom of the Netherlands

Pages count

URL

https://doi.org/10.1016/j.nonrwa.2024.104186

BibTex

@article{BUT194034,
  author="Anouar {Bahrouni} and Hlel {Missaoui} and Vicentiu {Radulescu}",
  title="Nodal solutions for the nonlinear Robin problem in Orlicz spaces",
  journal="NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS",
  year="2025",
  volume="81",
  number="104186",
  pages="29",
  doi="10.1016/j.nonrwa.2024.104186",
  issn="1878-5719",
  url="https://doi.org/10.1016/j.nonrwa.2024.104186"
}

Responsibility: Ing. Marek Strakoš