关于一类四阶椭圆方程组正解存在性的思考
관우일류사계타원방정조정해존재성적사고
On the Existence of A Class of Positive Solutions for Fourth-order Elliptic System
  • 万方数据
    许昌学院学报 허창학원학보
    JOURNAL OF XUCHANG UNIVERSIYT
    2011年 5期 4-7 ,共4页

    娄光谱%樊明智

    루광보%번명지

    四阶椭圆方程组%正解%Leray—Schauder度 四階橢圓方程組%正解%Leray—Schauder度
    사계타원방정조%정해%Leray—Schauder도
    fourth-order elliptic system%positive solutions%degree of Leray-Schauder
    区别于常用方法对耦技巧与极小极大定理，利用Leray-Schauder度理论与强极大值定理，同时构造合适函数讨论在空间E×E=（H2（Ω）∩H0 1（Ω））×（H2（Ω）∩成（H0 1（Ω））中一类四阶椭圆方程组正解的存在性问题．
    구별우상용방법대우기교여겁소겁대정리，이용Leray-Schauder도이론여강겁대치정리，동시구조합괄함수토론재공간E×E=（H2（Ω）∩H0 1（Ω））×（H2（Ω）∩성（H0 1（Ω））중일류사계타원방정조정해적존재성문제．
    This paper discusses the existence of a class of positive solutions for fourth-order elliptic system in space E×E=（H2（Ω）∩H0 1（Ω））×（H2（Ω）∩（H0 1（Ω））by using Leray-Schauder degree theory and strong maximum principle and constructing proper function instead of using coupling method and minimax theorem.
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