具有特征矩阵的退化椭圆方程外边值问题

Outside Boundary Value Problems for A Class of Degenerate Elliptic Equations with Characteristic Matrix

利用G-调和型方程的基本解及比较原理,考虑了一类具有特征矩阵的退化椭圆型方程在外边界区域(无界的)上的Dirichlet外边值问题,得到其弱解只有平凡解的Liouville定理结论.

In this paper, we mainly study outside boundary value problem in exterior domain for a class of quasi-linear degenerate elliptic equations with characteristic matrix, the Liouville theorem of weak solution is derived by use of the fundamental solution C- harmonic type equation and comparison lemma.