Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/16197
Title: Nonlinear periodic problems with a jumping reaction
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
Keywords: Scalar p-Laplacian
Double resonance
Critical groups
C-condition
Multiple solutions
Issue Date: 21-Dec-2015
Publisher: American Romanian Academy of Arts and Sciences
Abstract: We consider a periodic problem driven by the scalar $p-$Laplacian and with a jumping (asymmetric) reaction. We prove two multiplicity theorems. The first concerns the nonlinear problem ($1<p<\infty$) and produces two nontrivial solutions. The second is for the semilinear problem ($p=2$) and produces three solutions. The tools of our analysis are variational and Morse theoretic.
Peer review: yes
URI: http://hdl.handle.net/10773/16197
ISSN: 0278-5307
Publisher Version: http://system.lm-ns.org/index.php/lm-ns/article/view/1311
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

Files in This Item:
File Description SizeFormat 
APSPaper_LMNS_35(2015)_57-85.pdfDocumento principal283.57 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.