Open AccessA New Extension of Serrin's Lower Semicontinuity Theorem
Author(s) -
Xiaohong Hu,
Shiqing Zhang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/368610
Subject(s) - mathematics , extension (predicate logic) , convergence (economics) , variable (mathematics) , pure mathematics , mathematical analysis , calculus (dental) , computer science , economics , programming language , economic growth , medicine , dentistry
We present a new extension of Serrin's lower semicontinuity theorem. We prove that the variational functional defined on is lower semicontinuous with respect to the strong convergence in , under the assumptions that the integrand has the locally absolute continuity about the variable
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