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摘要
In this article, we prove the multiplicity of nontrivial solutions to the critical problem with fractional Laplacian @@@ (-Delta)(alpha/2)u - vertical bar u vertical bar(2)(*-2)(alpha) u + lambda u in Omega, @@@ u = 0 on partial derivative Omega, @@@ where 0 < alpha < 2, N > (1 + root 2)alpha R-N is a smooth bounded domain. More precisely, for any lambda > 0, this problem has at least [(N + 1)/2] pairs of nontrivial weak solutions.
- 出版日期2016-6-20
- 单位湖南大学
