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

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  • D. Motreanu
  • V. V. Motreanu
  • D. Paşca

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.

Suggested Citation

  • D. Motreanu & V. V. Motreanu & D. Paşca, 2002. "A version of Zhong's coercivity result for a general class of nonsmooth functionals," Abstract and Applied Analysis, Hindawi, vol. 7, pages 1-12, January.
    • Handle: RePEc:hin:jnlaaa:154675
    DOI: 10.1155/S1085337502207058
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