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| Volume 9, Number 1, April 2008, pp.25-36 | |||||||
| Emmanuel Giner | |||||||
| Key words: | |||||||
| Integral functional, subgradients of nonconvex functions, subdifferential regularity, contingent subdifferential, Clarke subgradients, limiting subdifferentials, nonsmooth analysis. | |||||||
| Mathematices Subject Classification: Primary 26A16, 26A24, 26E15, 28B20, 49J52, 54C35. | |||||||
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| Abstract: | |||
| We present two usual cases where the Clarke subdifferential of an integral functional defined on a Lebesgue space Lp, 1≤ p < ∞ has a simple characterization. A special attention is paid when the measure is atomless. | |||
| Subdifferential regularity and characterizations of the Clarke subgradients of integral functionals | ||