Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem
Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem
复制标题
二维 Gelfand 问题的多重爆炸解的莫尔斯指数
DOI：
10.1080/03605302.2014.930485
复制
发表时间：
2014
影响因子：
1.9
通讯作者：
and Takashi Suzuki
中科院分区：
文献类型：
--
作者：
Francesca Gladiali;Massimo Grossi;Hiroshi Ohtsuka;and Takashi Suzuki
研究了二维Gelfand问题的爆破解。已知这些解的爆破点的位置与包含区域的绿色函数的Hamilton函数有关。我们表明，这意味着一个等价的莫尔斯指数的解决方案和相关的临界点的哈密顿量。
Blow-up solutions to the two-dimensional Gel'fand problem are studied. It is known that the location of the blow-up points of these solutions is related to a Hamiltonian function involving the Green function of the domain. We show that this implies an equivalence between the Morse indices of the solutions and the associated critical points of the Hamiltonian.