Open AccessExistence and multiplicity of positive unbounded solutions for singular BVPs with the φ-Laplacian operator on the half line
Author(s) -
Chahira Attia,
Salima Mechrouk,
Ouiza Saïfi
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4658
Subject(s) - mathematics , multiplicity (mathematics) , laplace operator , boundary value problem , pure mathematics , mathematical analysis , banach space , strictly singular operator , operator (biology) , unbounded operator , finite rank operator , p laplacian , quasinormal operator , biochemistry , chemistry , repressor , transcription factor , gene
We provide in this work sufficient conditions for existence and multiplicity of positive unbounded solutions for a class of singular second-order boundary value problem associated with a φ-Laplacian operator and posed on the half-line. The proofs are based on a theorem of cone expansion and compression in a Banach space.