On an oblique derivative problem of finite index for nonlinear elliptic discontinuous equations in the plane

被引：0

作者：

Giuffrè, S ^{[1
]}

机构：

[1] Univ Reggio Calabria, DIMET, Fac Engn, I-89100 Reggio Di Calabria, Italy

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2003年 / 63卷 / 04期

关键词：

nonlinear discontinuous elliptic operators; oblique derivative problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An uniqueness and existence theorem in Sobolev spaces is proved for a tangential oblique derivative problem of finite index in the plane for second order nonlinear elliptic equations with discontinuous coefficients. The nonlinear operator A (x, D(2)u) is assumed to be of Caratheodory type and to satisfy an ellipticity condition. Only measurability with respect to the independent variable chi is required.

引用

页码：611 / 621

页数：11

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