BOUNDARY ASYMPTOTICAL BEHAVIOR OF LARGE SOLUTIONS TO HESSIAN EQUATIONS

作者：Huang, Yong^*

来源：Pacific Journal of Mathematics, 2010, 244(1): 85-98.

DOI：10.2140/pjm.2010.244.85

• boundary blow-up problem
• Hessian equations

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.

• 出版日期2010-1
• 单位中国科学院武汉物理与数学研究所