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On Non-radially Symmetric Bifurcation in the Annulus(Solutions for Nonlinear Elliptic Equations)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lin, Song-Sun |
| Copyright Year | 1989 |
| Abstract | We discuss the radially symmetric solutions and the non-radially symmetric bifurcation of the semilinear elliptic equation Δu + 2δeu = 0 in Ω and u = 0 on ∂Ω, where Ω = {xϵ R2: a2 δ∗(0, a). The upper branch of radial solutions has a non-radially symmetric bifurcation (symmetry breaking) at each δ∗(k, a), k ⩾ 1. As a → 0, the radial solutions will tend to the radial solutions on the disk and δ∗(0, a) → δ∗ = 1, the critical number on the disk. |
| Starting Page | 183 |
| Ending Page | 193 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0022-0396(89)90084-3 |
| Alternate Webpage(s) | https://ir.nctu.edu.tw/bitstream/11536/4311/1/A1989AN36200003.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0022-0396%2889%2990084-3 |
| Volume Number | 679 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
