| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611837 | Journal of Differential Equations | 2008 | 19 Pages |
Abstract
For the equation −Δu=||xα|−2|up−1, 1<|x|<3, we prove the existence of two solutions for α large, and of two additional solutions when p is close to the critical Sobolev exponent 2∗=2N/(N−2). A symmetry-breaking phenomenon appears, showing that the least-energy solutions cannot be radial functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
