涉及奇异(p,q)-拉普拉斯算子的非线性系统的极大值原理及弱解的存在性

Journal of Progressive Research in Mathematics Pub Date : 2016-06-01 DOI:10.4208/JPDE.V29.N2.1

S. Khafagy

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引用次数: 6

摘要

本文研究了R^{N}的有界域Ω上涉及奇异(p,q)-拉普拉斯算子的非线性系统存在极大原理的充要条件。此外，我们用Browder定理方法证明了所考虑系统的正弱解的存在性

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

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 R^{N}. Moreover, we prove the existence of positive weak solutions by the Browder theorem method for the considered system

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Journal of Progressive Research in Mathematics

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