中文摘要：

研究了一类奇异半线性椭圆方程解的不存在性，改进并补充了Arcoya等人的一个研究工作[Existence and nonexistence of solutions for singular quadratic quasilin-ear equations,J.Differential Equations，2009，246：4006—4042]．本文使用的方法非常简单，证明过程中用到了Poincar6不等式，Lusin定理以及Egoroff定理．

英文摘要：

We study the nonexistence of solutions for a singular semilinear elliptic equations. The results improve and implement a work by Arcoya et al. IExistence and nonexistence of solutions for singular quadratic quasilinear equations, J. Differential Equations, 2009, 246： 4006-4042], whose proofs are very simple and based on Poincar~ inequality, Lusin theorem and Egoroff theorem.