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拟线性椭圆型方程带有混合奇异项的正整体解(英文) 被引量:1

Positive Entire Solutions to Singular Quasilinear Elliptic Equations of Mixed Type
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摘要 在本文中,研究了方程div(|u|p-2u)+f(x,u)=0,x∈RN,N≥3的正整体解,其中f(x,u)在u=0未假定是正则的,且f(x,u)可以同时包含超线性,亚线性项和奇异项. In this paper,we study the positive solutions div(|↓△u|p-2↓△u)+f(x,u)=0,X∈R^N,N≥3where f(x,u) is not assumed to be regular near u = 0 and f(x,u) may be more general involving singular,sublinear and superlinear terms.
作者 徐兵 杨作东
出处 《应用数学》 CSCD 北大核心 2007年第2期253-257,共5页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China (10571022) the Natural Science Foundation of Educational Department of Jiangsu Province(04KJB110062,06KJB110056) the Science Foundation of Nanjing Normal University (2003SXXXGQ2B37)
关键词 拟线性椭圆型方程 上下解方法 有界整体正解 Quasilinear elliptic equations Upper and lower solution method Bounded positive entire solution
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