A version of Zhong's coercivity result for a general class of nonsmooth functionals

D. Motreanu, V. V. Motreanu and D. Paşca

Abstract and Applied Analysis, 2002, vol. 7, 1-12

Abstract:

A version of Zhong's coercivity result (1997) is established for nonsmooth functionals expressed as a sum Φ + Ψ , where Φ is locally Lipschitz and Ψ is convex, lower semicontinuous, and proper. This is obtained as a consequence of a general result describing the asymptotic behavior of the functions verifying the above structure hypothesis. Our approach relies on a version of Ekeland's variational principle. In proving our coercivity result we make use of a new general Palais-Smale condition. The relationship with other results is discussed.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:154675

DOI: 10.1155/S1085337502207058

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