RN上一类拟线性椭圆方程解的存在性

Publisher: 国家哲学社会科学学术期刊数据库

E-ISSN: 2095-3801|39|5|16-22

ISSN: 2095-3801

Source: 丽水学院学报, Vol.39, Iss.5, 2017-01, pp. : 16-22

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Abstract

研究一类拟线性椭圆方程ΣNi,j=1Dj(ai,j(x,u)Diu)-12ΣNi,j=1Dsai,j(x,u)Diu Dju+f(x,u)=0,x∈RN,u(x)→0,x→∞解的存在性问题,其中N≥3,Diu=Эx^-Эu,Dsai,j(x,s)=ds^-dai,j(x,s)函数f:R^n×R→R关于u次临界增长。通过扰动法和山路引理建立方程正负解的存在性定理。