Author:
Zhao Tao,Yamada Alexander
Abstract
AbstractThis paper gives growth properties of Green-Sch potentials at infinity in a cone, which generalizes results obtained by Qiao-Deng. The proof is based on the fact that the estimations of Green-Sch potentials with measures are connected with a kind of densities of the measures modified by the measures.MSC: 35J10, 35J25.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference17 articles.
1. Escassut A, Tutschke W, Yang CC: Some Topics on Value Distribution and Differentiability in Complex and P-Adic Analysis. Science Press, Beijing; 2008.
2. Gilbarg D, Trudinger NS: Elliptic Partial Differential Equations of Second Order. Springer, Berlin; 1977.
3. Miranda C: Partial Differential Equations of Elliptic Type. Springer, Berlin; 1970.
4. Verzhbinskii GM, Maz’ya VG: Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I. Sib. Mat. Zh. 1971, 12(2):874-899.
5. Qiao L, Deng GT: A lower bound of harmonic functions in a cone and its application. Sci. Sin., Math. 2014, 44(6):671-684. (in Chinese) 10.1360/N012013-00108
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献