摘要
§1.
In this article, we suppose that Ω is a domain bounded by a Jordan are Γ in the
haft plane (y>0) and the segment γ(0≤x≤1) of the x-axis. We discuss a class of
nonlinear second order degenerate elliptic equations
(1) A_1y^mU_(xx)+2A_2U_(xy)+A_3U_(yy)+G_1U_x+G_2U_y+G_3U=0
and
(2) A_1U_(xx)+2A_2U_(xy)+A_3y^mU_(yy)+G_1U_x+G_2U_y+G_3U=0
in Ω, and the boundary condition
(3) U(t)=φ(t), t∈(Γ+γ)\∪_j=1~ma_j
where boundary Function φ(t) is of the first class of discontinuity at the points a_j, a_i∈(Γ+γ)
(a_j≠0,1). We gave some existence and unigueness theorems of solutions of the above
boundary value problems with some conditions.
出处
《纯粹数学与应用数学》
CSCD
1990年第1期11-19,共9页
Pure and Applied Mathematics
