Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain. (October 2021)

• Record Type: Journal Article
• Authors: Cianciaruso, Filomena; Pietramala, Paolamaria
• Is Part Of: Nonlinear analysis. Volume 61(2021)
• Publication Date: 2021-10
• Subjects: Eigenvalue criteria -- Semipositone problem -- Neumann elliptic equation -- Exterior domain -- Radial solution -- Total cone; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103349
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: New criteria are established for the existence of positive solutions of a semipositone elliptic problem on the exterior of a ball in which the Neumann boundary conditions are non local. These criteria are determined by the relationship between the behaviour of the nonlinearity as the variable tends to 0 or ∞ and the principal (positive) eigenvalue of a suitable associate linear Hammerstein integral operator.