Carnot群上一类半线性方程的Liouville型定理
Carnot군상일류반선성방정적Liouville형정리
A LIOUVILLE TYPE THEOREM OF SEMILINEAR EQUATIONS ON THE CARNOT GROUP
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2007年 6期 655-660 ,共6页

    韩亚洲%罗学波%钮鹏程

    한아주%라학파%뉴붕정

    Liouville型定理%半线性方程%拟齐次分析法%Carnot群 Liouville型定理%半線性方程%擬齊次分析法%Carnot群
    Liouville형정리%반선성방정%의제차분석법%Carnot군
    Liouville type theorem%semilinear equation%quasihomogeneneous analysis method%Carnot group
    本文研究了Carnot群上一类具有超线性非齐次项的半线性次Laplace方程非负解的存在性问题.结合Birindelli等[4]在Heisenberg群上利用积分不等式研究解的方法和拟齐性分析技巧,给出了此类方程在Carnot群上的一类Liouville型定理.
    본문연구료Carnot군상일류구유초선성비제차항적반선성차Laplace방정비부해적존재성문제.결합Birindelli등[4]재Heisenberg군상이용적분불등식연구해적방법화의제성분석기교,급출료차류방정재Carnot군상적일류Liouville형정리.
    In this paper, the existence problem of non negative solutions of semilinear subLaplace equation with superlinear nonhomogeneous term on the Carnot group is discussed.Combining the method that Birindelli et. als(see [4]) studied solutions by integral inequalities on the Heisenberg group and the quasihomogeneous analysis technique,a Liouville type theorem for the class of equations on the Carnot group is given.
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