On the existence of solutions for a class of fourth order elliptic equations of Kirchhoff type with variable exponent
In this paper, we consider a class of fourth order elliptic equations of Kirchhoff type with variable exponent ( ∆2 p(x) u − M R Ω 1 p(x) |∇u| p(x) dx ∆p(x)u = λf(x, u) in Ω, u = ∆u = 0 on ∂Ω, where Ω ⊂ R N , N ≥ 3, is a smooth bounded domain, M(t) = a + btκ , a, κ > 0, b ≥ 0, λ is...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
ATNAA
2019-03-01
|
Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
Subjects: | |
Online Access: | https://dergipark.org.tr/en/download/article-file/678135 |