• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Engineering Engineering (General)

Perimeter as relaxed Minkowski content in metric measure spaces

Article ID Journal Published Year Pages File Type
5024610 Nonlinear Analysis: Theory, Methods & Applications 2017 11 Pages PDF
Abstract
In this note we prove that on general metric measure spaces the perimeter is equal to the relaxation of the Minkowski contents w.r.t. convergence in measure.
Keywords
Minkowski contentBV functionsPerimeter
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Perimeter as relaxed Minkowski content in metric measure spaces
Authors
Luigi Ambrosio, Simone Di Marino, Nicola Gigli,
Related Articles
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
Fefferman-Stein decomposition for QQ-spaces and micro-local quantities
Asymptotic behavior up to the second order term of solutions to quasilinear elliptic singular problems
On the lack of bound states for certain NLS equations on metric graphs
Higher integrability of iterated operators on differential forms
Blow-up results to certain hyperbolic model problems in fluid mechanics
Parabolicity of minimal graphs in Riemannian warped products and rigidity theorems
One-dimensional model equations for hyperbolic fluid flow
Monotonicity of the period of a non linear oscillator
Pseudo-Jacobian and global inversion of nonsmooth mappings on Riemannian manifolds
Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
Minkowski content
BV functions
Perimeter
Aerospace Engineering
Automotive Engineering
Biomedical Engineering
Civil and Structural Engineering
Computational Mechanics
Control and Systems Engineering
Electrical and Electronic Engineering
Engineering (General)
Industrial and Manufacturing Engineering
Mechanical Engineering
Mechanics of Materials
Ocean Engineering
Safety, Risk, Reliability and Quality
Related Journals
Nano Today
New Scientist
Design Studies
Artificial Intelligence
Neural Networks
Engineering
Engineering Science and Technology, an International Journal
Procedia Technology
Swarm and Evolutionary Computation
Information Fusion
Tribology International
Desalination
Sustainable Production and Consumption
Ain Shams Engineering Journal
Alexandria Engineering Journal
Beni-Suef University Journal of Basic and Applied Sciences
Composites Part B: Engineering
Composites Science and Technology
Comptes Rendus Mécanique
Daneshyari provides fulltext access to millions of research papers.