Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth

2024/11/26 by Vinayak Mani Tripathi, Tripathi, V. M.
Computer Science · Engineering · Mathematics · #35A01 #35A15 #35B33 #35R11 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2411.17169

openalex publication_date 2024/11/26 · openalex created_date 2024/12/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the multiplicity of nonnegative solutions for mixed local and non-local problem involving critical nonlinearity with sign changing weight. Using Nehari manifold method and fibering map analysis, we have shown existence of two solutions.

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