Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/18696
Title: Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet p-Laplacian
Author: Aizicovici, S.
Papageorgiou, N. S.
Staicu, V.
Keywords: Ambrosetti–Prodi problem
Sublinear and superlinear reaction
Upper and lower solutions
Nonlinear regularity
Critical groups
Issue Date: 2014
Publisher: Elsevier
Abstract: We deal with an Ambrosetti–Prodi problem driven by the p-Laplace differential operator, with a ‘‘crossing’’ reaction which can be sublinear or superlinear (in the positive direction). Using variational methods based on the critical point theory, together with upper–lower solutions, truncation and comparison techniques and critical groups, we show the existence of a unique critical parameter value λ∗ such that for λ < λ∗ there are at least two nontrivial solutions, for λ = λ∗ there is at least one nontrivial solution, and for λ > λ∗ no solutions exist. We extend several recent results on this problem.
Peer review: yes
URI: http://hdl.handle.net/10773/18696
DOI: 10.1016/j.na.2013.08.026
ISSN: 0362-546X
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

Files in This Item:
File Description SizeFormat 
APSPaper_NA_95(2014)_263–280.pdfDocumento principal459.81 kBAdobe PDF    Request a copy


FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.