Existence and Uniqueness of Weak Solution for Nonlinear Weighted (p; q)-Laplacian System with Application on an Optimal Control Problem

Authors

  • Salah A. Khafagy
  • Eada. A. El-Zahrani
  • Hassan M. Serag

Abstract

In this paper, we prove the existence and uniqueness results of weak solution for weighted (p, q)-Laplacian system with Dirichlet boundary condition.
The proof of the results is made by Browder theorem method. Also, the optimal control of the weighted (p, q)-Laplacian system will be study as an application.

Key words and phrases. Weak solutions, p-Laplacian, optimal control.

2010 Mathematics Subject Classification. 35B45, 35J55, 49J20

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Published

2025-05-18

How to Cite

Salah A. Khafagy, Eada. A. El-Zahrani, & Hassan M. Serag. (2025). Existence and Uniqueness of Weak Solution for Nonlinear Weighted (p; q)-Laplacian System with Application on an Optimal Control Problem. Jordan Journal of Mathematics and Statistics, 15(4A), 983–998. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/710

Issue

Vol. 15 No. 4A (2022)

Section

Articles