Permanence of metric fractals

The paper studies energy functionals on quasimetric spaces, defined by quadratic measure-valued Lagrangeans. This general model of medium, known as metric fractals, includes nested fractals and sub-Riemannian manifolds. In particular, the quadratic form of the Lagrangean satisfies Sobolev inequaliti...

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Bibliographic Details
Main Author: Kyril Tintarev
Format: Article
Language:English
Published: Texas State University 2007-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/16/t1/abstr.html