Optimal region for the transport problem to the boundary

DOI10.1016/j.jmaa.2023.127922zbMath1530.49042MaRDI QIDQ6187267

Samer Dweik

Publication date: 15 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

regularityshape optimizationoptimal transportminimal setstransport densityDirichlet region

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Optimal transportation (49Q22)

Cites Work

• Regularity of nonlocal minimal cones in dimension 2
• The fractional Cheeger problem
• Frontiere orientate di curvatura media assegnata in \(L^p\)
• Regularity properties for Monge transport density and for solutions of some shape optimization problem
• Representation of equilibrium solutions to the table problem for growing sandpiles
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• A nonhomogeneous boundary value problem in mass transfer theory
• Nonlocal minimal surfaces
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Weighted Beckmann problem with boundary costs
• INTEGRAL ESTIMATES FOR TRANSPORT DENSITIES
• Sharp summability for Monge Transport densityviaInterpolation
• Characterization of optimal shapes and masses through Monge-Kantorovich equation
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