Young measures in a nonlocal phase transition problem
1997 ◽
Vol 127
(3)
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pp. 615-637
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Keyword(s):
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result for Young measures and the principle of concentration-compactness. The regularity of such global minimisers is discussed, and the nonlocal variational problem is also considered on asymptotic tubes.
Keyword(s):
2017 ◽
Vol 19
(39)
◽
pp. 26645-26650
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Keyword(s):
2016 ◽
Vol 26
(06)
◽
pp. 1750046
2006 ◽
Vol 20
(14)
◽
pp. 821-833
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1998 ◽
Vol 53
(1-2)
◽
pp. 27-37
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2001 ◽
Vol 16
(17)
◽
pp. 1129-1138
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Keyword(s):