Title of article
Nontrivial solutions of some quasilinear problems via a cohomological local splitting Original Research Article
Author/Authors
A.M. Candela، نويسنده , , G. Palmieri، نويسنده , , K. K. C. K. Perera، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
2001
To page
2009
Abstract
This paper deals with a generalization of the pp-Laplacian type boundary value problem
View the MathML source{−div(pĀ(x,u)|∇u|p−2∇u)+Āt(x,u)|∇u|p=g(x,u)in Ω,u=0on ∂Ω,
Turn MathJax on
ΩΩ being a bounded domain in RNRN.
Under suitable assumptions and if p>Np>N, the existence of a nontrivial solution can be proved by means of variational tools and a cohomological local splitting.
Keywords
pp-Laplacian type equation , Cerami’s variant of the Palais–Smale condition , Cohomological local splitting , Alexander–Spanier cohomology
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862656
Link To Document