caa a22 4500 463206118 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11228-006-0031-7 doi (NATIONALLICENCE)springer-10.1007/s11228-006-0031-7 Giner Emmanuel Laboratoire MIP, Université Paul Sabatier, UFR MIG, 118 Route de Narbonne, 31062, Toulouse, Cedex 04, France aut Lipschitzian Properties of Integral Functionals on Lebesgue Spaces $\bf{L_p, 1 \leqslant {p} < \infty}$ [Elektronische Daten] [Emmanuel Giner] We give complete characterizations of integral functionals which are Lipschitzian on a Lebesgue space L p with p ≠ ∞. When the measure is atomless, we characterize the integral functionals which are locally Lipschitzian on such Lebesgue spaces. In every cases, the Lipchitzian properties of the integral functional can be described by growth conditions on the subdifferentials of the integrand which are equivalent to Lipschitzian properties of the integrand. Springer Science + Business Media B.V., 2007 integral functional nationallicence calmness nationallicence stability nationallicence Lipschitzian functions nationallicence locally Lipschitzian functions nationallicence nonsmooth analysis nationallicence Set-Valued Analysis Kluwer Academic Publishers 15/2(2007-06-01), 125-138 0927-6947 15:2<125 2007 15 11228 https://doi.org/10.1007/s11228-006-0031-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-006-0031-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Giner Emmanuel Laboratoire MIP, Université Paul Sabatier, UFR MIG, 118 Route de Narbonne, 31062, Toulouse, Cedex 04, France aut NATIONALLICENCE 773 0- Set-Valued Analysis Kluwer Academic Publishers 15/2(2007-06-01), 125-138 0927-6947 15:2<125 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer