Please use this identifier to cite or link to this item:
Title: Multiple solutions with sign information for (p, 2)−equations with asymmetric resonant reaction
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
Keywords: Resonance
Constant sign and nodal solutions
Nonlinear regularity
Maximum principle
Critical groups
Issue Date: 2020
Publisher: Yokohama Publishers
Abstract: We consider a nonlinear nonhomogeneous Dirichlet problem driven by the sum of a p−Laplacian and a Laplacian (a (p, 2)− equation). The reaction is the sum of two competing terms, a parametric (p − 1)−sublinear term and an asymmetric (p − 1)−linear perturbation which is resonant at −∞. Using variational methods together with truncations and comparison techniques and Morse theory (critical groups), we prove two multiplicity theorems which provide sign information for all the solutions.
Peer review: yes
ISSN: 2189-3756
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

Files in This Item:
File Description SizeFormat 
APSPaper_Brezis_pafav5n4ai-pa-vi.pdf201.88 kBAdobe PDFView/Open

Formato BibTex MendeleyEndnote Degois 

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