Existence of Entire Solutions of a Singular Semilinear Elliptic Problem  

作　　者：Wei Jie FENG Xi Yu LIU 

机构地区：[1]Department of Mathematics,Beijing University of Aeronautics and Astronautics,LIMB of the Ministry of Education [2]School of Information and Mangement,Shandong Normal University

出　　处：《Acta Mathematica Sinica,English Series》2004年第6期983-988,共6页数学学报（英文版）

基　　金：supported in part by NSF(Youth) of Shandong Province and NNSF of China

摘　　要：In this paper, we obtain some existence results for a class of singular semilinear elliptic problems where we improve some earlier results of Zhijun Zhang. We show the existence of entire positive solutions without the monotonic condition imposed in Zhang’s paper. The main point of our technique is to choose an approximating sequence and prove its convergence. The desired compactness can be obtained by the Sobolev embedding theorems.In this paper, we obtain some existence results for a class of singular semilinear elliptic problems where we improve some earlier results of Zhijun Zhang. We show the existence of entire positive solutions without the monotonic condition imposed in Zhang’s paper. The main point of our technique is to choose an approximating sequence and prove its convergence. The desired compactness can be obtained by the Sobolev embedding theorems.

关 键 词：Singular semilinear elliptic problem Sobolev embedding theorems Maximum principle 

分 类 号：O175.25[理学—数学]