p-Energia in spazi metrici generalizzati |
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Authors: | Giuliana Palmieri |
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Affiliation: | 1. Università degli Studi di Bari, Campus Universitario, Via E. Orabona, 4, 70125, Bari, Italia
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Abstract: | Given a setS and a function σ:S x S→[0, +∞[ such that σ(x, x)=0, we define the generalizedp-energy of a curve γ: [a, b]→S, so that, ifS is a Hilbert space and σ(x, y)=‖x−y‖ we obtain . Sufficient conditions for the equality of the defined energies are also given. Moreover the case in whichS is a set of measurable parts of ℝn and σr is a family of functions used in order to study the generalized minimizing motions, is discussed. Conferenza tenuta il 30 ottobre 1995 |
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