2016年3月17日
Morse indices of the solutions to the Liouville-Gel'fand problem with variable coefficients
日本数学会2016年度年会
- ,
- 記述言語
- 日本語
- 会議種別
- 口頭発表(一般)
- 主催者
- 日本数学会
- 開催地
- 筑波大学
We consider a sequence of blow-up solutions to the Liouville-Gel'fand problem with variable coefficients, and their linearized eigenvalue problems. We show the precise coincides of the Morse indices of the solution and the critical point of the Hamiltonian of the singular limit. The results are natural extensions of those for constant coefficients.