Three solutions for a Dirichlet problem with one-sided growth conditions on the nonlinearities
IANNIZZOTTO, ANTONIO
2013-01-01
Abstract
We consider a semilinear elliptic partial differential equation, depending on two positive parameters λ and μ, coupled with homogeneous Dirichlet boundary conditions. Assuming only one-sided growth conditions on the nonlinearities involved, we prove the existence of at least three weak solutions for λ and μ lying in convenient intervals. We employ techniques of nonsmooth analysis introduced by Degiovanni and Zani, and a theorem of Ricceri for multiplicity of local minimizers.File | Size | Format | |
---|---|---|---|
Faraci-Iannizzotto-NA.pdf Solo gestori archivio
Description: Articolo
Type: Author’s Accepted Manuscript AAM, Post-print, (version accepted by the publisher)
Size 251.22 kB
Format Adobe PDF
|
251.22 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.