Boundary blow-up for elliptic problems involving exponential nonlinearities with nonlinear gradient terms and singular weights
Boundary blow-up for elliptic problems involving exponential nonlinearities with nonlinear gradient terms and singular weights
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涉及具有非线性梯度项和奇异权重的指数非线性的椭圆问题的边界爆炸
DOI：
10.3934/cpaa.2007.6.521
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发表时间：
2007-03
期刊：
影响因子：
--
通讯作者：
张志军
中科院分区：
文献类型：
--
作者：
张志军
通过扰动方法和构造比较函数，我们展示了非线性椭圆问题边界附近解的精确渐近行为 Δ$u\pm|\nabla u|^q=b(x)e^u,\ x \in \Omega, \ u|_{\partial \Omega}=\infty, $ where $\Ome
By a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions near the boundary to nonlinear elliptic problems Δ$u\pm|\nabla u|^q=b(x)e^u,\ x \in \Omega, \ u|_{\partial \Omega}=\infty, $ where $\Ome