科研之友
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摘要
We study the asymptotic behaviour as p -%26gt; infinity of the nodal radial solutions u(p) of the problem %26lt;br%26gt;{-Delta u = vertical bar u vertical bar(p-1)u in Omega %26lt;br%26gt;u = 0 on partial derivative Omega, %26lt;br%26gt;where Omega is an annulus in R-N, N %26gt;= 2. We also analyze the spectrum of the linearized operator associated to u(p) in the case when u(p) has only two nodal regions. In particular, we prove that the Morse index of u(p) tends to infinity as p goes to infinity.
- 出版日期2014-8
