南通大学学报:自然科学版2012,Vol.11Issue(2):82-87,6.
一类非线性椭圆方程爆破解的渐近行为
Asymptotic Behavior of Large Solutions to a Class of Nonlinear Elliptic Equations
摘要
Abstract
By a perturbation method and construction comparison functions, the behavior of large solutions near the boundary to nonlinear elliptic problems Δu=b(x)eu±c(x)︱▽uq,x∈Ω;u︱Ω=+∞ is studied, where 0 is a bounded N domain with smooth boundary in RN , q ≥ 0, the weight b(x),c(x)∈Cα(Ω),α∈(0,1), and are non-negative functions in Ω.关键词
非线性椭圆方程/爆破解/渐近行为Key words
nonlinear elliptic equation/large solution/asymptotic behavior分类
数理科学引用本文复制引用
刘娟娟,陈玉娟,陈莉..一类非线性椭圆方程爆破解的渐近行为[J].南通大学学报:自然科学版,2012,11(2):82-87,6.基金项目
南通市应用研究计划项目 ()