Decoupling of DeGiorgi-Type Systems via Multi-Marginal Optimal Transport

DOI10.1080/03605302.2013.849730zbMath1294.49024arXiv1302.3280OpenAlexW1965325311MaRDI QIDQ2875586

Brendan Pass, Nassif Ghoussoub

Publication date: 8 August 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3280

zbMATH Keywords

submodularitycompatibilityoptimal transportrearrangement inequalitiesDeGiorgi conjectureelliptic systems of PDEsH-monotonicitymulti-marginal Monge-Kantorovich problemorientable system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational problems in a geometric measure-theoretic setting (49Q20) Systems of functional equations and inequalities (39B72) Entire solutions to PDEs (35B08)

Related Items (2)

Unnamed Item ⋮ On the growth of the energy of entire solutions to the vector Allen-Cahn equation

Cites Work

• De Giorgi type results for elliptic systems
• On a conjecture of De Giorgi and some related problems
• On De Giorgi's conjecture in dimensions 4 and 5
• Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization
• On phase-separation models: asymptotics and qualitative properties
• Rearrangement inequalities for functionals with monotone integrands
• Some basic facts on the system $\Delta u - W_{u} (u) = 0$
• A gradient bound and a liouville theorem for nonlinear poisson equations
• Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
• An Inequality for Rearrangements

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