A quasi-ordered quasi-metric coercivity result is established for sequences of nonsmooth functionals fulfilling Palais-Smale conditions. The core of this approach is an asymptotic statement involving such objects, obtainable from a quasi-ordered quasi-metric variational principle comparable with the related one in Turinici [Romai J., Vol. 7, no. 2 (2011), 169–179].

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Sequential Coercivity over Quasi-Ordered Quasi-Metric Spaces

  • Mihai Turinici

摘要

A quasi-ordered quasi-metric coercivity result is established for sequences of nonsmooth functionals fulfilling Palais-Smale conditions. The core of this approach is an asymptotic statement involving such objects, obtainable from a quasi-ordered quasi-metric variational principle comparable with the related one in Turinici [Romai J., Vol. 7, no. 2 (2011), 169–179].