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 quasilinear 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Poincaré不等式,Lusin定理以及Egoroff定理.
Abstract
We study the nonexistence of solutions for a singular semilinear elliptic equations. The results improve and implement a work by Arcoya et al. [Existence and nonexistence of solutions for singular quadratic quasilinear equations, J. Differential Equations, 2009, 246: 4006-4042], whose proofs are very simple and based on Poincaré inequality, Lusin theorem and Egoroff theorem.
关键词
奇异椭圆方程 /
不存在性 /
逼近问题
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Key words
singular elliptic equation /
nonexistence /
approximation problem
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参考文献
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脚注
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基金
国家自然科学基金项目(10901030,11001278);中国博士后科研基金项目(20090450191);中央高校基本科研业务费专项基金项目(DC110109,DC120101064)
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