THE FIRST BOUNDARY VALUE PROBLEM FOR A CLASS OF QUASILINEAR DEGENERATE ELLIPTIC EQUATIONS
In this paper, the first boundary value problem for quasilinear equation of the form △A(u, x) + m∑i=1(e)bi(u,x)/(e)xi+c(u,x)=0,Au(u,x)≥0is 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.
作 者： Zhao Junning Zeng Xiaoming 作者单位： Department of Mathematics, Xiamen University, Xiamen 361005, China 刊 名： 数学物理学报（英文版） ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA 年，卷(期)： 2005 25(4) 分类号： O1 关键词： Dirichlet problem degenerate elliptic equation existence of solutions