具有多重临界指数双调和椭圆方程组正解的存在性

Existence of Positive Solution for Biharmonic Elliptic Systems with Multiple Critical Exponents

运用山路引理和Sobolev-Hardy不等式,研究了一类具有多重临界指数和奇异性的双调和方程组。

In this paper, a class biharmonic elliptic systems with multiple critical exponents and singular terms are studied. By employing Sobolev-Hardy inequality and Mountain Pass theorem, the existence of positive solution is established under some certain condition.