臺灣博碩士論文加值系統

在這篇論文裡,我們證明出半線性橢圓方程在有界對稱域上
,某些條件下有三個正解的存在。其中一個是對稱的,另兩個是非對稱的,而它們都是不穩定的。

In this article, we prove that there are three positive solutions of a semilinear elliptic equation in a bounded symmetric domain Dt for large t > 0 in which one is axially symmetric and the other two are nonaxially symmetric. Moreover, we prove that these three solutions are unstable.

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