Inserted: 26 nov 2018
Last Updated: 7 jul 2019
Journal: Rend. Lincei Mat. Appl.
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