Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840263 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 9 Pages |
Abstract
We consider a semilinear elliptic partial differential equation, depending on two positive parameters λλ and μμ, 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 λλ and μμ 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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Francesca Faraci, Antonio Iannizzotto,