Calculus of Variations and Geometric Measure Theory
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E. Fried - L. Lussardi

Monotonicity formulae for smooth extremizers of integral functionals

created by lussardi on 26 Nov 2018

[BibTeX]

Accepted Paper

Inserted: 26 nov 2018
Last Updated: 26 nov 2018

Journal: Rend. Lincei Mat. Appl.
Pages: 1-12
Year: 2018

Abstract:

A general monotonicity formula for smooth constrained local extremizers of first-order integral functionals subject to non-holonomic constraints is established. The result is then applied to recover some known monotonicity formulae and to discover some new monotonicity formulae of potential value.

Keywords: monotonicity formula, constrained local extremizer


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