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

作　　者：张玉灵[1] 丁艳风[1] 刘银萍[1] ZHANG Yu-ling;DING Yan-feng;LIU Yin-ping(Department of Basic Science,Shengda College of Economics&Trade Management of Zhengzhou,Zhengzhou 451191,China)

机构地区：[1]郑州升达经贸管理学院基础部,郑州451191

出　　处：《数学的实践与认识》2019年第2期241-246,共6页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(61401469)

摘　　要：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.

关 键 词：双调和 椭圆方程组 临界SOBOLEV-HARDY指数 山路引理 

分 类 号：O175.25[理学—数学]