Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular (p,q)-Laplacian Operators

Salah Khafagy

Salah Khafagy Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt. Current Address: Mathematics Department, Faculty of Science in Zulfi, Majmaah University, Saudi Arabia

Keywords: Maximum principle, weak solution, singular p-Laplacian.

Abstract

We investigate in this work necessary and sufficient conditions for having the maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of Rⁿ. Moreover, we prove the existence of positive weak solutions by the Browder theorem method for the considered system

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References

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