临界半线性双调和方程非平凡解的存在性

Existence of Nontrivial Solutions of Critical Biharmonic Equations

该文借助于没有PS条件的翻山引理，并利用Sobolev嵌入的最佳达到函数，克服了由于Sobolev嵌入失紧性而带来的系列困难．证明了含临界增长的两类观调和方程边值问题非平凡解的存在性．

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactnesscondition and by adoption of the best attained function of Sobolev embedding, the papersucessfully ovetcomes seria1 difficulties caused by lose of compactness due to Sobolev embed-ding and proves the existence of nontrivial solutions of two classes of critical biharmonic e-quations on boundary conditions.