Maximum principle and one-sign solutions for the elliptic p-Laplacian

2012/07/28 by Guowei Dai, Dai, Guowei
Computer Science · Mathematics · #35B32 #35B50 #35D05 #35J70 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.AP #msc:35B32 #msc:35B50 #msc:35D05 #msc:35J70

paper · pdf · doi:10.48550/arxiv.1207.6671

6 pages

arxiv created 2012/07/28 · openalex publication_date 2012/07/28 · arxiv updated 2012/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a maximum principle for the p-Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solutions for a class of quasilinear elliptic problems.

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