Estimates for the green function and existence of positive solutions for higher-order elliptic equations
We establish a 3G-theorem for the iterated Green function of (−∆)pm, (p≥1,m≥1), on the unit ball B of ℝn(n≥1) with boundary conditions (∂/∂ν)j(−∆)kmu=0 on ∂B, for 0≤k≤p−1 and 0≤j≤m−1. We exploit this result to study a class of potentials 𝒥m,n(p). Next, we aim at proving the existence of positive con...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/89491 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|