含临界指数奇异双调和方程非平凡解的存在性

Existence of Nontrivial Solution for Singular Biharmonic Equation Involving Critical Exponents

研究了一类含临界指数的奇异双调和方程,通过Sobolev嵌入的最佳达到函数和精确的能量估计,运用山路引理得到了这类双调和方程非平凡解的存在性。

A singular biharmonic equation with critical exponents is studied. By the best attained function of Sobolev embedding and delicate energy estimates, with the mountain pass theorem, the existence of nontrivial solution of the biharmonic equation is obtained.