A singular nonlinear elliptic equation with natural growth in the gradient
A singular nonlinear elliptic equation with natural growth in the gradient
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DOI：
10.1002/mma.996
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发表时间：
2008-09
影响因子：
2.9
通讯作者：
Wenshu Zhou
中科院分区：
文献类型：
--
作者：
Wenshu Zhou
本文主要研究梯度自然增长的奇异非线性椭圆方程齐次Dirichlet边值问题的存在性和规律性。通过一定的变换，该问题可以形式化地转化为狄利克雷问题或无梯度项的边界爆炸问题，并推导了相应的存在性结果，是对前人工作的部分扩展和补充。版权所有 © 2008 约翰·威利父子有限公司
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 © 2008 John Wiley & Sons, Ltd.