| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4590955 | Journal of Functional Analysis | 2011 | 41 Pages |
Abstract
We consider the problem ε2Δu−uq+up=0 in Ω, u>0 in Ω, u=0 on ∂Ω. Here Ω is a smooth bounded domain in RN, if N⩾3 and ε is a small positive parameter. We study the asymptotic behavior of the least energy solution as ε goes to zero in the case . We show that the limiting behavior is dominated by the singular solution ΔG−Gq=0 in Ω\{P}, G=0 on ∂Ω. The reduced energy is of nonlocal type.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
