2014/12/31 by S. Marano, Salvatore A. Marano, Marano, Salvatore A. +2
Computer Science · Mathematics · #35J20 #35J60 #35J92 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #msc:35J20 #msc:35J60 #msc:35J92
paper · pdf · doi:10.48550/arxiv.1501.00152
arxiv created 2014/12/31 · openalex publication_date 2014/12/31 · arxiv updated 2015/01/05 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
The existence of three smooth solutions, one negative, one positive, and one nodal, to a homogeneous Robin problem with p-Laplacian and Carathéodory reaction is established. No sub-critical growth condition is taken on. Proofs exploit variational as well as truncation techniques. The case p=2 is separately examined, obtaining a further nodal solution via Morse's theory.