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, issue 11, 601-612

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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https://doi.org/10.1155/S1085337502207058

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:11:p:601-612

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