On a p(x) $p(x)$-biharmonic problem with Navier boundary condition
Abstract In this paper, we study a p(x) $p(x)$-biharmonic equation with Navier boundary condition {Δp(x)2u+a(x)|u|p(x)−2u=λf(x,u)+μg(x,u)in Ω,u=Δu=0on ∂Ω. $$ \textstyle\begin{cases} \Delta^{2}_{p(x)}u+a(x)|u|^{p(x)-2}u= \lambda f(x,u)+\mu g(x,u)\quad \text{in } \Omega, \\ u=\Delta u=0 \quad \text{on...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-09-01
|
| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1071-2 |