Title of article
On a -Kirchhoff equation via Krasnoselskii’s genus
Author/Authors
Corrêa، نويسنده , , Francisco Jْlio S.A. and Figueiredo، نويسنده , , Giovany M. Figueiredo، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
4
From page
819
To page
822
Abstract
In this work will use the genus theory, introduced by Krasnoselskii, to show a result of existence and multiplicity of solutions of the p -Kirchhoff equation − [ M ( ∫ Ω | ∇ u | p d x ) ] p − 1 Δ p u = f ( x , u ) in Ω , u = 0 on ∂ Ω where Ω is a bounded smooth domain of R N , 1 < p < N , and M and f are continuous functions.
Keywords
Genus theory , Kirchhoff equation , Nonlocal problems
Journal title
Applied Mathematics Letters
Serial Year
2009
Journal title
Applied Mathematics Letters
Record number
1525961
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