Details

Autor(en) / Beteiligte

• Siconolfi, Antonio
• Sorrentino, Alfonso

Titel

Aubry–Mather theory on graphs

Ist Teil von

• Nonlinearity, 2023-11, Vol.36 (11), p.5819-5859

Ort / Verlag

IOP Publishing

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Abstract We formulate Aubry–Mather theory for Hamiltonians/Lagrangians defined on graphs, study the structure of minimizing measures, and discuss the relationship with weak KAM theory developed in Siconolfi and Sorrentino (2018 Anal. PDE 1 171–211). Moreover, we describe how to transport and interpret these results on networks.