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Existence results for some fourth-order nonlinear elliptic problems

โœ 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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Existence results for some fourth-order
โœ Huihui Pang; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 419 KB

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.

Fourth-order compact finite difference m
โœ Yuan-Ming Wang; Ben-Yu Guo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 638 KB

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