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赵俊宁,曾小明
DIAO Dun-Ning, CENG Xiao-Meng
摘要：
In this paper, the first boundary value problem for quasilinear
equation of the form
$$\Delta A(u, \ x)+\sum_{i=1}^{m}\frac{\partial b^{i}(u, \ x)}{\partial x_{i}}
+c(u, \ x)=0, \ \ \ \ \ \ \ \ A_{u}(u, \ x)\geq 0
$$
is studied. By using the compensated compactness theory, some results on the existence of weak
solution are established. In addition, under certain condition the uniqueness of
solution is proved.
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