Convex envelopes on Trees

zbMath1452.35230arXiv1904.05322MaRDI QIDQ5131664

Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi

Publication date: 9 November 2020

Full work available at URL: https://arxiv.org/abs/1904.05322

zbMATH Keywords

Laplacian on graphsconvexity for an infinite regular treeconvexity on graphs

Mathematics Subject Classification ID

Trees (05C05) Convex functions and convex programs in convex geometry (52A41) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Convex and quasiconvex functions in metric graphs

Cites Work

• Unnamed Item
• Estimates for nonlinear harmonic measures on trees
• Geometric analysis on Cantor sets and trees
• Fatou theorem of \(p\)-harmonic functions on trees.
• Games for eigenvalues of the Hessian and concave/convex envelopes
• Nonlinear elliptic partial differential equations and \(p\)-harmonic functions on graphs.
• Convex and quasiconvex functions on trees and their applications
• Existence, uniqueness and decay rates for evolution equations on trees
• The Dirichlet problem for the convex envelope
• The convex envelope is the solution of a nonlinear obstacle problem
• Dirichlet duality and the nonlinear Dirichlet problem
• The unique continuation property for a nonlinear equation on trees
• Estimates for nonlinear harmonic measures on trees