On the Approximation of Anisotropic Energy Functionals by Riemannian Energies via Homogenization

zbMath1421.58002arXiv1704.04597MaRDI QIDQ4967843

Till Knoke

Publication date: 11 July 2019

Full work available at URL: https://arxiv.org/abs/1704.04597

zbMATH Keywords

Finsler metricsRiemannian metricsGamma convergenceCartan functionalsdominance functions

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• On the convergence of integral functionals depending on vector-valued functions
• An introduction to \(\Gamma\)-convergence
• Harmonic maps from Finsler manifolds
• FINSLER LAPLACIANS AND MINIMAL-ENERGY MAPS
• Dominance Functions for Parametric Lagrangians
• Plateau's problem for parametric double integrals: I. Existence and regularity in the interior
• Plateaus problem for parametric double integrals: II. Regularity at the boundary
• The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature

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