A BOUNDARY VALUE PROBLEM FOR A NONLINEAR ELLIPTIC SYSTEM RELEVANT IN GENERAL RELATIVITY

被引：0

作者：

Cimatti, Giovanni ^{[1
]}

机构：

[1] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2016年 / 2卷 / 1-2期

关键词：

Axially symmetric gravitational fields; boundary value problem; existence and uniqueness of solutions;

D O I：

10.1007/BF03377403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A theorem of existence and non-existence of solutions for a boundary value problem for the equations of axially symmetric gravitational field in vacuum is given using the inverse function theorem in Banach spaces and the method of functional solutions. Conditions are given under which solutions exist or not exist.

引用

页码：217 / 233

页数：17

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