An optimal design problem with non-standard growth and no concentration effects
Keyword(s):
We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions and perimeter penalisation. Under our hypotheses, the integral representation includes a term which is absolutely continuous with respect to the Lebesgue measure and a perimeter term, but no additional singular term. We also study some dimension reduction problems providing results for the optimal design of thin films.
1998 ◽
Vol 1998
(505)
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pp. 173-202
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1998 ◽
Vol 35
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pp. 373-376
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2014 ◽
Vol 20
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pp. 460-487
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2006 ◽
Vol 462
(2072)
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pp. 2225-2243
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2005 ◽
Vol 44
(1)
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pp. 195-209
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2010 ◽
Vol 76
(769)
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pp. 2316-2324
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2014 ◽
Vol 709
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pp. 530-533
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2006 ◽
Vol 15
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pp. 239-244
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2007 ◽
Vol 134
(2)
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pp. 339-352
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