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.
Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain
Cianciaruso Filomena
;Pietramala Paolamaria
2021-01-01
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.File in questo prodotto:
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