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Abstract

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The existence of at least three bounded weak solutions is established for a nonlinear elliptic equation with unbounded coefficients. The approach is based on variational methods and critical point theorems.

Details

1009240
Subject
Banach spaces;
Hypotheses;
Critical point;
Dirichlet problem;
Variational methods
Identifier / keyword
weighted Sobolev space; degenerate (p,q)-Laplacian; bounded solution; 35A15; 35J70
Title
Three Bounded Solutions for a Degenerate Nonlinear Dirichlet Problem
Author
Tornatore Elisabetta
Publication title
Axioms; Basel
Volume
14
Issue
4
First page
289
Publication year
2025
Publication date
2025
Publisher
MDPI AG
Place of publication
Basel
Country of publication
Switzerland
Publication subject
Mathematics
e-ISSN
20751680
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2025-04-11
Milestone dates
2024-06-13 (Received); 2025-04-08 (Accepted)
Publication history
 
 
   First posting date
11 Apr 2025
DOI
https://doi.org/10.3390/axioms14040289
ProQuest document ID
3194489118
Document URL
https://www.proquest.com/scholarly-journals/three-bounded-solutions-degenerate-nonlinear/docview/3194489118/se-2?accountid=208611
Copyright
© 2025 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2025-04-25
Database
ProQuest One Academic