Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Different Degenerated P-Laplacian - NZJM

New Zealand Journal of Mathematics

Salah A. Khafagy¹ 

[1] Mathematics DepartmentFaculty of ScienceAl-Azhar UniversityNasr City11884CairoEgypt$$

关键词: maximum principle;    existence of weak solution;    nonlinear elliptic system;    degenerated p-Laplacian.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this paper, we study the maximum principle and existence of weak solutions for the following nonlinear system on where ΔP,p with 1 < p < N,and P(x) is a weight function, denotes the degenerate p-Laplacian defined by . We give necessary and sufficient conditions to have a maximum principle for this system and then we prove the existence of weak solutions for the same system by using an approximation method.

【 授权许可】

Unknown