Calculus of Variations and Geometric Measure Theory

A. Braides

Variational Problems on Networks

created by braidesa on 10 Jul 2021
modified on 02 Nov 2021


Lecture Notes

Inserted: 10 jul 2021
Last Updated: 2 nov 2021

Year: 2021


These notes contain the topics dealt with in the 20-hour PhD course ``Variational Problem on Networks'' given at SISSA, Trieste, and partly online, in the period January-February 2021, and in the online "Winter School on Analysis and Applied Mathematics'' at M√ľnster, Germany, on 22-26 February 2021. The course is thought to be an introduction to the study of variational problems with interfacial energies on networks with a growing number of nodes, mainly parameterized on lattices but with a final section on general abstract graphs.

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