科研之友
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摘要
We consider the problem: -Delta u = vertical bar u vertical bar(4/N-2)u epsilon f(x) in Omega, u = 0 on partial derivative Omega, where Omega subset of R(N) is a bounded smooth domain which exhibits small holes, f >= 0, f not equivalent to 0 and epsilon > 0 is small. Using the reduction method and a min-max scheme worked out with topological arguments, we construct multiple solutions by gluing negative double-spike patterns located near each of the holes.
- 出版日期2009-7
