Further study of a weighted elliptic equation
Further study of a weighted elliptic equation作者机构：Department of Mathematics Henan Normal University Xinxiang 453007 China
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2017年第60卷第12期
页 面：2391-2406页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by National Natural Science Foundation of China (Grant No. 11571093)
主 题：positive solutions embeddings weighted elliptic equations critical values Liouville theorem
摘 要：A Liouville type result is established for non-negative entire solutions of a weighted elliptic *** provides a positive answer to a problem left open by Du and Guo(2015) and Phan and Souplet(2012)(see(CJ) by Du and Guo(2015) and Conjecture B by Phan and Souplet(2012)). Meanwhile, some regularity results are also obtained. The main results in this paper imply that the number ps is the critical value of the Dirichlet problems of the related equation, even though there are still some open problems left. Our results also apply for the equation with a Hardy potential.
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