含非线性梯度项的椭圆方程大解的渐近行为(英文)  

Asymptotic behavior of large solution to elliptic problems with nonlinear gradient terms

作　　者：张生智[1] 席进华[1] 

机构地区：[1]甘肃民族师范学院数学系,甘肃合作747000

出　　处：《浙江大学学报（理学版）》2011年第2期131-134,共4页Journal of Zhejiang University（Science Edition）

基　　金：Gansu Provincial Educational Science"Eleventh Five-Year"Planning Issuse.(GSBG[2009]GXG188)

摘　　要：应用Karamata正规变化理论和上下解方法,考虑了具有奇异边界条件u|Ω=+∞的非线性椭圆方程Δu±|u|q=b(x)f(u)边界爆破解的边界行为,其中f在无穷远处比任何幂函数up(p>1)都要变化得快,b(x)∈Cθ(Ω)(θ>0)在Ω非负.By Karamata regular variation theory and the method of lower and supper solution,the boundary behavior of boundary blow-up solutions of the nonlinear elliptic equationΔu±｜u｜q=b（x）f（u）in Ω,subject to the singular boundary condition u｜Ω=＋∞ is investigated,where f grows at infinite,faster than any power up（p1）,b（x）∈Cα（Ω） for some α0,which is nonnogetive in Ω.

关 键 词：边界爆破 非线性梯度项 Karamata正规变化理论 

分 类 号：O172.2[理学—数学]