BOUNDARY ASYMPTOTICAL BEHAVIOR OF LARGE SOLUTIONS TO HESSIAN EQUATIONS
BOUNDARY ASYMPTOTICAL BEHAVIOR OF LARGE SOLUTIONS TO HESSIAN EQUATIONS
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DOI：
10.2140/pjm.2010.244.85
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发表时间：
2010
影响因子：
0.6
通讯作者：
Yong Huang
中科院分区：
文献类型：
--
作者：
Yong Huang
考虑k-Hessian方程边界爆破问题光滑解的精确渐近性质，其中偏导数是严格的。（k - 1）-凸。当k = n时，Cirstea和Trombetti（蒙日-安培方程）以及Bandle和Marcus（半线性方程）也得到了类似的结果。
We consider the exact asymptotic behavior of smooth solutions to boundary blow-up problems for the k-Hessian equation on Omega, where partial derivative Omega is strictly. (k - 1)-convex. Similar results were obtained by Cirstea and Trombetti when k = n (the Monge-Ampere equation) and by Bandle and Marcus for a semilinear equation.