Multiplicity of Positive Solutions of P-Laplacian Systems With Sign-Changing Weight Functions

2013/12/25 by Seyyed Sadegh Kazemipoor, Kazemipoor, Seyyed Sadegh, Mahboobeh Zakeri +1
Computer Science · Engineering · Mathematics · Medicine · #35D30 #35J05 #35J20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Bone and Joint Diseases #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in engineering #math.AP #msc:35D30 #msc:35J05 #msc:35J20

paper · pdf · doi:10.48550/arxiv.1312.6998

arxiv created 2013/12/25 · openalex publication_date 2013/12/25 · arxiv updated 2013/12/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the multiplicity of positive solutions for the p-Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.

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