| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612786 | Journal of Differential Equations | 2006 | 17 Pages |
Abstract
We show in this paper that there exist domains Ω, which are not conformally equivalent to starshaped domains, such that the Dirichlet problem: , u>0 in Ω; u=0 on ∂Ω has no solution. Some nonexistence results about the Dirichlet problem: −Δu=λu+u5, u>0 in Ω; u=0 on ∂Ω for certain λ>0 over three dimensional non-starshaped domains are also obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
