https://scholars.lib.ntu.edu.tw/handle/123456789/625078
標題: | A Spherical Harnack Inequality for Singular Solutions of Nonlinear Elliptic Equations | 作者: | Chen C.-C Lin C.-S. |
公開日期: | 2001 | 卷: | 30 | 期: | 44624 | 起(迄)頁: | 713-738 | 來源出版物: | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze | 摘要: | We consider a positive singular solution of where g(t) is locally bounded and positive for t > 0, r is a closed subset of B1 with vanishing Newton capacity, BR is the open ball of radius R and center 0 in R", and n > 3. By employing the method of moving planes and the localization method of R. Schoen, we prove the following inequality, where c is a positive constant and d (x) is the distance from x to r, provided that is nonincreasing in t for t large. This inequality is new even when u (x) is radially symmetric. © 2001 Scuola Normale Superiore. All rights reserved. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-51249095810&partnerID=40&md5=a832f487d094208bb6b4b2c9c980a71b https://scholars.lib.ntu.edu.tw/handle/123456789/625078 |
ISSN: | 0391173X |
顯示於: | 數學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。