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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
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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.
作者 张生智 席进华
机构地区 甘肃民族师范学院数学系
出处 《浙江大学学报（理学版）》 CAS CSCD 北大核心 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)
关键词 边界爆破 非线性梯度项 Karamata正规变化理论 Boundary blow-up Nonlinear gradient terms Karamata regular variation theory
分类号 O172.2 [理学—基础数学]
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参考文献17

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浙江大学学报（理学版）
2011年 第2期

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