Description

• Title:
  Mixed boundary condition for the Monge-Kantorovich equation
• Creator:
  Igbida, Noureddne;
  Ouaro, Stanislas;
  Tradore, Urbain
• Description:
  In this work we give some equivalent formulations for the optimization problem \begin{multline*} \max\bigg\{ \int_{\Omega} \xi \,d\mu + \int_{\Gamma_{N}}\xi \,d\nu;\ \xi \in W^{1,\infty}(\Omega) \text{ such that } \\ \xi_{/\Gamma_{D}}= 0, |\nabla\xi(x)|\leq 1 \text{ a.e. } x\in \Omega\bigg\}, \end{multline*} where the boundary of $\Omega$ is $\Gamma=\Gamma_{N}\cup\Gamma_{D}$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2016.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 1 (March 2016); 109 - 123;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.088/7908 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.088/7395
• Subject:
  Nonlinear PDE;
  tangential gradient;
  R^N-valued Radon measure flux;
  optimization problem;
  Primary;
  49J45;
  49J20;
  Secondary;
  82C70;
  90B06
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.088
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other