Geodesic
On the Clarke Subdifferential of an Integral Functional on Lp , 1 ≤ p < ∞
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 41-48

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DOI

Given an integral functional defined on ${{L}_{p}}$ , $1\le p<\infty $ , under a growth condition we give an upper bound of the Clarke directional derivative and we obtain a nice inclusion between the Clarke subdifferential of the integral functional and the set of selections of the subdifferential of the integrand.
DOI : 10.4153/CMB-1998-008-5
Mots-clés : 28A25, 49J52, 46E30, Integral functional, integrand, epi-derivative 
Giner, E. On the Clarke Subdifferential of an Integral Functional on Lp , 1 ≤ p < ∞. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 41-48. doi: 10.4153/CMB-1998-008-5
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     author = {Giner, E.},
     title = {On the {Clarke} {Subdifferential} of an {Integral} {Functional} on {Lp} , 1 \ensuremath{\leq} p &lt; \ensuremath{\infty}},
     journal = {Canadian mathematical bulletin},
     pages = {41--48},
     year = {1998},
     volume = {41},
     number = {1},
     doi = {10.4153/CMB-1998-008-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-008-5/}
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