A class of nonlinear optimisation and applications

Citation

• Liu, J. (2012). A class of nonlinear optimisation and applications. Retrieved from http://arxiv.org/abs/1203.2351v2

Web Of Science Accession Number

Abstract

• In this paper, we introduce a class of nonlinear optimisation problems. Under

  mild assumptions, we obtain the existence of potential functions and show that

  the potential function is a generalised solution of a Monge-Amp\`ere type

  equation. We also present some interesting applications in optimal

  transportation and geometric optics problems.

UOW Authors

•   Liu, Jiakun

Publication Date

• 2012

Citation

• Liu, J. (2012). A class of nonlinear optimisation and applications. Retrieved from http://arxiv.org/abs/1203.2351v2

Web Of Science Accession Number