Radial Convex Solutions of a Singular Dirichlet Problem with the Mean Curvature Operator in Minkowski Space

In this paper, we study the existence of nontrivial radial convex solutions of a singular Dirichlet problem involving the mean curvature operator in Minkowski space. The proof is based on a well-known fixed point theorem in cones. We deal with more general nonlinear term than those in the literature...

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Bibliographic Details
Published in:	Acta mathematica scientia Vol. 39; no. 2; pp. 395 - 402
Main Authors:	Liang, Zaitao, Yang, Yanjuan
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01-03-2019 School of Mathematics and Big Data, Anhui University of Science and Technology,Huainan 232001, China%College of Sciences, Hohai University, Nanjing 210098, China
Subjects:	Analysis Mathematics Mathematics and Statistics 34B15 mean curvature operator fixed point theorem in cones singular Dirichlet problem 35J93 radial convex solutions 35A20
Online Access:	Get full text
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Summary:	In this paper, we study the existence of nontrivial radial convex solutions of a singular Dirichlet problem involving the mean curvature operator in Minkowski space. The proof is based on a well-known fixed point theorem in cones. We deal with more general nonlinear term than those in the literature.
ISSN:	0252-9602 1572-9087
DOI:	10.1007/s10473-019-0205-7