一类拟线性椭圆型方程下解的先验估计

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A Priori Estimate for Lower Solutions of a Class Quasilinear Elliptic Equations

摘要: 本文在一定的结构条件下,对如下形状的拟线性椭圆型方程的下解作出了新的先验估计,发展了Gilbarg-Trudinger的某些结果。
- 椭圆方程 /
- 下解 /
- 先验估计
Abstract: A new priori estimate of lower solution is made for the following quasilinear elliptic equation: The result presented in this paper enriches and extends the corresponding result of Gilbarg-Trudinger.
- elliptic equation /
- lower solution /
- priori estimate

[1]	Gilbarg D, Trudinger N S. Elliptic Partial Differential Equations of Second Order[M]. New York, Heidelberg: Springer-Verlag, 1977,327～340
[2]	Ladyzhenskaya O A, Uraltseva N N. Linear and Quasilinear Elliptic Equations[M].New York: Academic Press, 1968,275～281(English version)