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Energy Minimisers with Prescribed Jacobian

We consider the class of planar maps with Jacobian prescribed to be a fixed radially symmetric function f and which, moreover, fixes the boundary of a ball; we then study maps which minimise the 2p-Dirichlet energy in this class. We find a quantity [Formula: see text] which controls the symmetry, un...

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Detalles Bibliográficos
Autores principales: Guerra, André, Koch, Lukas, Lindberg, Sauli
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8545764/
https://www.ncbi.nlm.nih.gov/pubmed/34720117
http://dx.doi.org/10.1007/s00205-021-01699-4