We present a sufficient condition ensuring lower semicontinuity for nonlocal supremal functionals of the type W 1,'(?; Rd) u I? ess sup W(x, y, Vu(x), Vu(y)), (x,y)E?x? where ? is a bounded open subset of RN and W: ? x ? x RdxN x RdxN ? R.
A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case / Gargiulo, G.; Zappale, E.. - In: EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 2199-6768. - 9:3(2023). [10.1007/s40879-023-00668-3]
A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case
Zappale E.
2023
Abstract
We present a sufficient condition ensuring lower semicontinuity for nonlocal supremal functionals of the type W 1,'(?; Rd) u I? ess sup W(x, y, Vu(x), Vu(y)), (x,y)E?x? where ? is a bounded open subset of RN and W: ? x ? x RdxN x RdxN ? R.File allegati a questo prodotto
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