Noncompact $L_p$-Minkowski problems

Citation

• Huang, Y., & Liu, J. (2018). Noncompact $L_p$-Minkowski problems. Retrieved from http://arxiv.org/abs/1812.03309v1

Web Of Science Accession Number

Abstract

• In this paper we prove the existence of complete, noncompact convex

  hypersurfaces whose $p$-curvature function is prescribed on a domain in the

  unit sphere. This problem is related to the solvability of Monge-Amp\`ere type

  equations subject to certain boundary conditions depending on the value of $p$.

  The special case of $p=1$ was previously studied by Pogorelov and Chou-Wang.

  Here, we give some sufficient conditions for the solvability for general

  $p\neq1$.

UOW Authors

•   Liu, Jiakun

Publication Date

• 2018

Citation

• Huang, Y., & Liu, J. (2018). Noncompact $L_p$-Minkowski problems. Retrieved from http://arxiv.org/abs/1812.03309v1

Web Of Science Accession Number