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

zbMATH Open1310.35094arXiv1312.6998MaRDI QIDQ2939149

Seyyed Sadegh Kazemipoor, Mahboobeh Zakeri

Publication date: 16 January 2015

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.

Full work available at URL: https://arxiv.org/abs/1312.6998

zbMATH Keywords

Nehari manifoldsign-changing weight functionsLaplacian systems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

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Multiplicity of positive solution of \(p(x)\)-Laplacian problems with sign-changing weight functions

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