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Acta Mathematica Scientia

, Volume 39, Issue 2, pp 395–402 | Cite as

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

  • Zaitao Liang
  • Yanjuan YangEmail author
Article
  • 1 Downloads

Abstract

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.

Key words

radial convex solutions singular Dirichlet problem mean curvature operator fixed point theorem in cones 

2010 MR Subject Classification

34B15 35A20 35J93 

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Notes

Acknowledgements

We would like to show our thanks to Professor Jifeng Chu (Shanghai Normal University) for useful discussions.

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.School of Mathematics and Big DataAnhui University of Science and TechnologyHuainanChina
  2. 2.College of SciencesHohai UniversityNanjingChina

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