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A class of nonlinear optimisation and applications

Journal Article


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.

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


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.

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