奇异双调和方程解的存在性

Existence of nontrivial solution for biharmonic problems involving critical Sobolev exponent

运用变分法和Sobolev不等式,研究了一类具有临界指数及奇异性的双调和椭圆方程,在一定条件下,得到了方程至少存在一个解的结果.

In this paper,a biharmonic equation involving the critical exponent and singular terms is studied.By employing variation and Sobolev inequality,the existence of at least one solution is established under some certain condition.