科研之友
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摘要
We show that in every dimension N %26gt;= 3 there are many bounded domains Omega subset of R-N, having only finite symmetries, in which the Bahri-Coron problem %26lt;br%26gt;-Delta u = vertical bar u vertical bar(4/(N-2)) u in Omega, u= 0 on delta Omega, %26lt;br%26gt;has a prescribed number of solutions, one of them being positive and the rest sign-changing.
- 出版日期2013-12
