On the Solvability of Some Nonlinear Elliptic Problems

被引：0
|
作者：
Golubeva, E. V. [1 ]
Dubinskii, Yu. A. [1 ]
机构：
[1] Natl Res Univ MPEI, Moscow 111250, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
nonlinear weighted elliptic problems; solvability; average of the solution; LAPLACIAN;
D O I：
10.1134/S0965542517030058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The solvability of second-order nonlinear elliptic equations in weighted Sobolev spaces is analyzed. An additional condition ensuring the solvability of such equations is that the average of the desired solution over some circle of fixed radius is zero. Examples are equations containing a weighted p-Laplacian and the Euler equations.
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页码：409 / 421
页数：13
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