Existence results for some fourth-order nonlinear elliptic problems
โ Scribed by Zhang Jihui
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 82 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we consider the following fourth-order multi-point boundary value problem where nonlinear f is depending on all lower-order derivatives of u. By using the method of upper and lower solutions and Schauder's fixed point theorem, existence result is obtained.
A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity