Exploring Nontrivial Solutions for Steklov Boundary Value Problems with (p(x) q(x))-Laplacian

A. Lakhdi, B. Karim, M. R. Sidi Ammi

Abstract: In this study, we demonstrate that a Steklov boundary value problem involving (p(x); q(x))-Laplacian has nontrivial weak solutions in diverse situations. The mountain pass theorem and a conventional Weierstrass type theorem are the basis for the existence results. We used the symmetric mountain pass theorem to derive our multiplicity results.

Keywords: (p(x); q(x))-Laplacian operator, Mountain Pass Theorem, Steklov eigenvalue problem, Weierstrass type theorem

How to Cite?: A. Lakhdi, B. Karim, M. R. Sidi Ammi, "Exploring Nontrivial Solutions for Steklov Boundary Value Problems with (p(x) q(x))-Laplacian", Volume 14 Issue 10, October 2025, International Journal of Science and Research (IJSR), Pages: 851-864, https://www.ijsr.net/getabstract.php?paperid=SR241226033316, DOI: https://dx.doi.org/10.21275/SR241226033316