Critical point theory for the p-Laplacian problems

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Published: 2026-05-20
DOI: https://doi.org/10.56947/j247qj94
Keywords:
p-Laplacian operator, differential equations, half-line, mountain pass theorem, minimization principle, critical point theory

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Taha Khalil Abassi
Department of Mathematics, Faculty of Sciences, Amar Teleji Laghouat University, Algeria, Laboratory of Physics Mathematics and Applications, Higher Nomal School of Kouba, Algeria
Mabrouk Briki
Department of Mathematics, Faculty of Exact Sciences and Computer Science, Ziane Achour University, Algeria and Laboratory of Fixed Point Theory and Applications, Algeria

Abstract

In this article we establish the existence of weak solutions for a p-Laplacian differential equation on the half-line under Dirichlet boundary conditions. The proof is based on critical point theory.

Article Details

Issue

Vol. 23 No. 1 (2026)

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Articles

How to Cite

Critical point theory for the p-Laplacian problems. (2026). Gulf Journal of Mathematics, 23(1). https://doi.org/10.56947/j247qj94