TITLE

# Generalised twists, stationary loops, and the Dirichlet energy over a space of measure preserving maps

AUTHOR(S)
Shahrokhi-Dehkordi, M.; Taheri, A.
PUB. DATE
June 2009
SOURCE
Calculus of Variations & Partial Differential Equations;Jun2009, Vol. 35 Issue 2, p191
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Let $${\Omega \subset \mathbb{R}^n}$$ be a bounded Lipschitz domain and consider the Dirichlet energy functionalover the space of measure preserving mapsIn this paper we introduce a class of maps referred to as generalised twists and examine them in connection with the Eulerï¿½Lagrange equations associated with $${{\mathbb F}}$$ over $${{\mathcal A}(\Omega)}$$ . The main result here is that in even dimensions the latter equations admit infinitely many solutions, modulo isometries, amongst such maps. We investigate various qualitative properties of these solutions in view of a remarkably interesting previously unknown explicit formula.
ACCESSION #
36479338

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