Existence and Multiplicity of Positive Solutions for Quasilinear\n Elliptic Systems Involving the P-Laplacian

2015/12/27 by Seyyed Sadegh Kazemipoor, Kazemipoor, Seyyed Sadegh, Mahboobeh Zakeri +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1512.08190

openalex publication_date 2015/12/27 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

We study the existence and multiplicity of solutions to the elliptic system\nwhere RN is a bounded and smooth domain. Using fibering maps and extracting\nPalais-Smale sequences in the Nehari manifold, we prove the existence of at\nleast two distinct nontrivial nonnegative solutions.\n

Related

• Multiplicity of Positive Solutions of P-Laplacian Systems With Sign-Changing Weight Functions
• Existence, positivity and boundedness of solutions for systems of quasilinear elliptic equations
• Existence and multiplicity of positive weak solutions for a new class of\n (p; q)-Laplacian systems
• Multiplicity of Solutions for Quasilinear Elliptic Problems
• Sign changing solutions for quasilinear superlinear elliptic problems