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A singular nonlinear elliptic equation with natural growth in the gradient

✍ Scribed by Wen-Shu Zhou

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
150 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper is devoted to the existence and regularity of the homogenous Dirichlet boundary value problem for a singular nonlinear elliptic equation with natural growth in the gradient. By certain transformations, the problem can be transformed formally into either a Dirichlet problem or boundary blowup problems without gradient term, for which the corresponding existence results are also derived, which is a partial extension and supplement to the previous works. Copyright Β© 2008 John Wiley & Sons, Ltd.

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