Integral representation of functionals defined on curves of W1,p
1998 ◽
Vol 128
(2)
◽
pp. 193-217
◽
Keyword(s):
Let I ⊂ ℝ be a bounded open interval, (I) be the family of all open subintervals of I and let p > 1. The aim of this paper is to give an integral representation result for abstract functionals F: W1,p(I;ℝn) × (I) → [0, + ∞) which are lower semicontinuous and satisfy suitable properties. In particular, we prove an integral representation theorem for the Г-limit of a sequence {Fh}h, of functionals of the formwhere each fh is a Borel function satisfying proper growth conditions.
1994 ◽
Vol 124
(5)
◽
pp. 927-946
◽
2002 ◽
Vol 81
(5)
◽
pp. 1179-1195
◽
2013 ◽
Vol 143
(6)
◽
pp. 1185-1208
◽
2016 ◽
Vol 37
(6)
◽
pp. 1997-2016
◽
Keyword(s):
1973 ◽
Vol 16
(4)
◽
pp. 416-430
◽
Keyword(s):
1974 ◽
Vol 26
(6)
◽
pp. 1351-1355
◽
Keyword(s):
1961 ◽
Vol 13
◽
pp. 505-518
◽
Keyword(s):