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LIOUVILLE TYPE THEOREMS OF SEMILINEAR EQUATIONS WITH SQUARE SUM OF VECTOR FIELDS
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作者 HanYazhou luoxuebo NiuPengcheng 《Journal of Partial Differential Equations》 2005年第2期149-153,共5页
Let Xj,j=1,…k,be first order smooth quasi-homogeneous vector fields on R^n with the property that the dimension of the Lie algebra generated by these vector fields is n at x =0 and Xj^*--Xj,j=1,…,k,Let L=∑i=1^k Xi^... Let Xj,j=1,…k,be first order smooth quasi-homogeneous vector fields on R^n with the property that the dimension of the Lie algebra generated by these vector fields is n at x =0 and Xj^*--Xj,j=1,…,k,Let L=∑i=1^k Xi^2,In this paper,we study the nonnegative solutions of semilinear equation. 展开更多
关键词 LIOUVILLE定理 超线性方程 局部Hormander条件 平方和算子 广义余弦域
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