JournalsrlmVol. 30, No. 2pp. 365–377

Monotonicity formulae for smooth extremizers of integral functionals

  • Eliot Fried

    Okinawa Institute of Science and Technology, Japan

  • Luca Lussardi

    Politecnico di Torino, Italy
Monotonicity formulae for smooth extremizers of integral functionals cover

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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.

Cite this article

Eliot Fried, Luca Lussardi, Monotonicity formulae for smooth extremizers of integral functionals. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 2, pp. 365–377

DOI 10.4171/RLM/851