Work

A generalized p -Laplacian problem with parameters

Year: 2025

Type: article

Abstract: In recent years, research into the multiplicity of solutions to the p p -Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open. Problems involving a critical point are indeed interesting and relevant, especially challenging. Motivated by such questions, in this article, we are interested, through a critical point theorem, to investigate the existence of at least three distinct weak solutions for a generalized p p -Laplacian problem with parameters under appropriate hypotheses, applicable in physics, for instance, in fluid mechanics, and in Newtonian fluids. In this sense, as a direct consequence of the main result, we finish the work with two other results of weak solutions.

Source: Demonstratio Mathematica

DOI: 10.1515/dema-2025-0135

Authors: Jiabin Zuo, Shapour Heidarkhani, Shahin Moradi, José Vanterler da Costa Sousa

Institutions: Guangzhou University, Razi University, Universidade Estadual do Maranhão

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W4410612801

FWCI:

Cites: 20

Cited by:

Related to: 10