Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem

de Pascale L, Pratelli A (2002)

Publication Type: Journal article, Original article

Publication year: 2002

Journal

Calculus of Variations and Partial Differential Equations Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 14

Pages Range: 249-274

Journal Issue: 3

Abstract

In this paper we study the dimension of some measures which are related to the classical Monge's optimal mass transport problem and are solutions of a scalar shape optimization problem. Moreover in the case of maximal dimension we will study the summability of the associate densities.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

University of Pisa / Università di Pisa (UniPi) IT Italy (IT)

How to cite

APA:

de Pascale, L., & Pratelli, A. (2002). Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem. Calculus of Variations and Partial Differential Equations, 14(3), 249-274.

MLA:

de Pascale, Luigi, and Aldo Pratelli. "Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem." Calculus of Variations and Partial Differential Equations 14.3 (2002): 249-274.

BibTeX: Download