Existence and approximation of solutions for a class of degenerate elliptic equations with Neumann boundary condition

被引：1

作者：

Cavalheiro, Albo Carlos ^{[1
]}

机构：

[1] Univ Estadual Londrina, Dept Math, Londrina, Parana, Brazil

来源：

NOTE DI MATEMATICA | 2020年 / 40卷 / 02期

关键词：

Neumann problem; weighted Sobolev spaces;

D O I：

10.1285/i15900932v40n2p63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we study the equation Lu = f, where L is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set Omega. We prove the existence and uniqueness of weak solutions in the weighted Sobolev space W-1,W-2(Omega, omega) for the Neumann problem. The main result establishes that a weak solution of degenerate elliptic equations can be approximated by a sequence of solutions for non-degenerate elliptic equations

引用

页码：63 / 81

页数：19

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