Multiplicity of solutions for some Steklov problems involving the \lowercase{$(p(x)$-$q(x))$}-Laplace operator
Year: 2025
Type: article
Abstract: In this paper, we use the variational method to study some Steklov problems involving the $p(x)$-$q(x)$-Laplace operator. Specifically, in the first part of this paper, we combine the mountain pass theorem with Ekeland's variational principle to prove the existence of two nontrivial weak solutions. Furthermore, in the second part of this work, we use the symmetric version of the mountain pass theorem to prove the existence of an infinite number of solutions to such problems.
Source: Mathematical Reports
Authors: Laboratoire de Mod\'elisation Math\'ematique\\
Facult\'e des Sciences de Tunis\\
Universit\'e Tunis El Manar\\
Analyse Harmonique et Th\'eorie du Potentiel\\
Campus Universitaire\\
Tunis 1068, Tunisia\\, Mounir Bezzarga, Abdeljabbar Ghanmi, Universit\'e de Tunis El Manar, Ahlem Galai, Universit\'e de Tunis El Manar
Institution: Tunis University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4410892000