Numerical solutions of coupled systems of nonlinear elliptic equations
โ Scribed by Igor Boglaev
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 191 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring ฮฉ of IR^n^. We prove that a function which characterizes the starshapedness does not attain its minimum in ฮฉ.
In this paper we investigate finite difference approximations of ronlinear elliptic equations of the form \(\Delta \|\) เฅค \(\lambda\left(\prime \prime \mid \|^{\prime \prime}\right) \quad 0\) in three diumensions, where \(d\) is a positive pratalleter. We show the existence of spurious solution bran