Abstract
In this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality for nonnegative superharmonic functions are used to investigate the existence of positive solutions of the Dirichlet problem for semi-linear elliptic equations.
Authors
Yansheng Liu
Department of Mathematics, Shandong Normal University, Jinan, 250014, P. R. China
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
positive solution; fixed point theorem in cones; elliptic boundary value problem; weak Harnack inequality
Paper coordinates
Y. Liu, R. Precup, Positive solutions of nonlinear singular integral equations in ordered Banach spaces, Nonlinear Funct. Anal. Appl. 11 (2006) no. 3, 447-457.
also freely available at the publisher: http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/571/517
MR2305500, Zbl pre05145463
About this paper
Journal
Nonlinear Funct. Anal. Appl.
Publisher Name
KUPress
DOI
Print ISSN
1229-1595
Online ISSN
2466-0973
google scholar link
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