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

Salah. A. Khafagy; Mohamed A. E. Herzallah

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

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

Salah. A. Khafagy and Mohamed A. E. Herzallah

Southeast Asian bulletin of mathematics, Vol.40(3), pp.353-364

01/01/2016

Abstract

Mathematics

Physical Sciences

Science & Technology

In this paper, the necessary and sufficient conditions for the validity of the maximum principle for a nonlinear system involving weighted (p, q)-Laplacian operators on a bounded domain will be given. Then the existence of weak solutions for the same system will be proved by using the Browder theorem method.

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Title: Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Weighted (p, q)-Laplacian
Creators - without role: Salah. A. Khafagy - Al Azhar University
Mohamed A. E. Herzallah - Zagazig University
Publication Details: Southeast Asian bulletin of mathematics, Vol.40(3), pp.353-364
Publisher: Southeast Asian Mathematical Soc-Seams
Number of pages: 12
Grant note: 1/1433-2012 / Engineering and Applied Sciences, Research Center, Scientific Research Deanship, majmaah University, KSA
Identifiers: 9918162508331
Academic Unit: Majmaah University; Shaqra University
Language: English
Resource Type: Journal article