Problems for elliptic singular equations with a quadratic gradient term
Problems for elliptic singular equations with a quadratic gradient term
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DOI：
10.1016/j.jmaa.2006.12.017
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发表时间：
2007-10
影响因子：
1.3
通讯作者：
G. Porru;A. Vitolo
中科院分区：
文献类型：
--
作者：
G. Porru;A. Vitolo
研究了一类带二次梯度项和奇异数据的二阶椭圆型偏微分方程的齐次Dirichlet问题。特别是，我们研究了适当的假设下，方程的系数的增长的边界附近的解决方案的渐近行为。
We investigate the homogeneous Dirichlet problem for a class of second-order elliptic partial differential equations with a quadratic gradient term and singular data. In particular, we study the asymptotic behaviour of the solution near the boundary under suitable assumptions on the growth of the coefficients of the equation.