Existence of solution for a doubly exponential elliptic equation

We solve a nonlinear equation by means of the Galerkin scheme method implemented in Orlicz-Sobolev spaces related to Young functions with iterated exponential behavior. In the sense of Trudinger-Moser embedding, the equation might be subcritical or critical. We prove that these spaces are separable and reflexive.

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Publication Details

Journal
Bulletin of the Belgian Mathematical Society - Simon Stevin
Published
2025-07-16
DOI
https://doi.org/10.36045/j.bbms.240726a
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Existence of solution for a doubly exponential elliptic equation

Anderson de Araujo, Marcelo Montenegro
Bulletin of the Belgian Mathematical Society - Simon Stevin
Differential Equations and Boundary Problems
article

Existence of solution for a doubly exponential elliptic equation

Anderson de Araujo, Marcelo Montenegro
article en

Abstract

We solve a nonlinear equation by means of the Galerkin scheme method implemented in Orlicz-Sobolev spaces related to Young functions with iterated exponential behavior. In the sense of Trudinger-Moser embedding, the equation might be subcritical or critical. We prove that these spaces are separable and reflexive.

Bulletin of the Belgian Mathematical Society - Simon StevinVol. 32(2)
Openalex Percentile: Top 74%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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Existence of solution for a doubly exponential elliptic equation — Anderson de Araujo, Marcelo Montenegro · Bulletin of the Belgian Mathematical Society - Simon Stevin (2025) | TGRS Research Map | TGRS