科研之友
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摘要
with u = v = 0 on partial derivative B, where B is the unit ball in R-N, N %26gt;= 3, and gimel and mu are positive parameters. First we show that radial solutions in B\ {0} are either regular or have a log-type singularity. Then, in dimensions 3 %26lt;= N %26lt;= 9 we prove that there is an unbounded curve S subset of (0, infinity)(2) such that for each (mu, gimel) is an element of S there exist infinitely many regular solutions. Moreover, the number of regular solutions tends to infinity as (mu, gimel) approaches a fixed point in S.
- 出版日期2013-10
