The least gradient problem with Dirichlet and Neumann boundary conditions

Boundary value problems for second-order elliptic equations (35J25) Regularity of solutions in optimal control (49N60) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92) Optimal transportation (49Q22)

Cites Work

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The Euler-Lagrange equation for the anisotropic least gradient problem
Special cases of the planar least gradient problem
Pairings between measures and bounded functions and compensated compactness
Regularity properties for Monge transport density and for solutions of some shape optimization problem
Planar least gradient problem: existence, regularity and anisotropic case
\(L^p\) bounds for boundary-to-boundary transport densities, and \(W^{1,p}\) bounds for the BV least gradient problem in 2D
Uniqueness and transport density in Monge's mass transportation problem
Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)
Least gradient problem on annuli
\( W^{1, p}\) regularity on the solution of the BV least gradient problem with Dirichlet condition on a part of the boundary
The planar least gradient problem in convex domains, the case of continuous datum
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
Least gradient problems with Neumann boundary condition
An optimal transportation problem with a cost given by the Euclidean distance plus import/export taxes on the boundary
Comportamento delle successioni convergenti di frontiere minimali
Minimal cones and the Bernstein problem
The planar least gradient problem in convex domains: the discontinuous case
Functions of least gradient and 1-harmonic functions
Weighted Beckmann problem with boundary costs
Optimal Transportation with Boundary Costs and Summability Estimates on the Transport Density
Summability estimates on transport densities with Dirichlet regions on the boundaryviasymmetrization techniques
INTEGRAL ESTIMATES FOR TRANSPORT DENSITIES
Not all traces on the circle come from functions of least gradient in the disk
Sharp summability for Monge Transport densityviaInterpolation
Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem
Optimal region for the transport problem to the boundary

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