A discrete isoperimetric inequality on lattices
From MaRDI portal
Publication:464731
DOI10.1007/s00454-014-9617-2zbMath1326.35057OpenAlexW2009612422MaRDI QIDQ464731
Publication date: 29 October 2014
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-014-9617-2
Maximum principles in context of PDEs (35B50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Isoperimetric problems for polytopes (52B60) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
On discrete Brunn-Minkowski and isoperimetric type inequalities ⋮ Harnack inequalities for supersolutions of fully nonlinear elliptic difference and differential equations ⋮ Mixing times for a constrained Ising process on the two-dimensional torus at low density
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
- Direct solution of the discretized Poisson-Neumann problem on a domain composed of rectangles
- Two isoperimetric inequalities with lattice constraints
- Finite-difference solution of Poisson's equation in rectangles of arbitrary proportions
- Isoperimetric inequalities for densities of lattice-periodic sets
- A note on the discrete Aleksandrov-Bakelman maximum principle
- Elliptic partial differential equations of second order
- Positive difference operators on general meshes
- Evolving monotone difference operators on general space-time meshes
- An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
- Gitterperiodische Punktmengen und Isoperimetrie
- Linear Elliptic Difference Inequalities with Random Coefficients
- Discrete Isoperimetric-Type Inequalities
- Discrete Calculus
- Discrete Methods for Fully Nonlinear Elliptic Equations
- The isoperimetric inequality
- On the discrete maximum principle for parabolic difference operators
- An Isoperimetric Problem on a Lattice
- Optimal Transport
- A high-order fast direct solver for singular Poisson equations
