Work

Multiple Solutions for a Critical Steklov Kirchhoff Equation

Year: 2024

Type: article

Abstract: In the present work, we study some existing results related to a new class of Steklov p(x)-Kirchhoff problems with critical exponents. More precisely, we propose and prove some properties of the associated energy functional. In the first existence result, we use the mountain pass theorem to prove that the energy functional admits a critical point, which is a weak solution for such a problem. In the second main result, we use a symmetric version of the mountain pass theorem to prove that the investigated problem has an infinite number of solutions. Finally, in the third existence result, we use a critical point theorem proposed by Kajikiya to prove the existence of a sequence of solutions that tend to zero.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8100598

Authors: Maryam Ahmad Alyami, Abdeljabbar Ghanmi

Institutions: University of Jeddah, National Engineering School of Tunis, Tunis El Manar University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funder: University of Jeddah