Coercivity Properties for Sequences of Lower Semicontinuous Functions on Metric Spaces
Author(s) -
Dumitru Motreanu,
V. V. Motreanu
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 - 10.1155/2013/268650
Subject(s) - mathematics , compact space , coercivity , sequence (biology) , metric space , metric (unit) , type (biology) , pure mathematics , space (punctuation) , mathematical analysis , condensed matter physics , computer science , ecology , operations management , physics , biology , economics , genetics , operating system
The paper presents various results studying the asymptotic behavior of a sequence of lower semicontinuous functions on a metric space. In particular, different coercivity properties are obtained extending and refining previous results. The specific features and the structure of the terms of the sequence are used to construct appropriate quantities relevant in the verificationof Palais-Smale compactness type conditions
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