Abstract
Two kinds of Palais-Smale condition, $(PS)_c$ and $(PS)^*_c$, for nondifferentiable functionals are studied. It is shown that $(PS)_c$ implies $(PS)^*_c$ and that they are equivalent for convex functionals. This points out a gap in the proof of Costa and Goncalves [5, Proposition 3]. Some other nonsmooth versions of known smooth results are also obtained.
Citation
Hong-Kun Xu. "ON THE PALAIS-SMALE CONDITION FOR NONDIFFERENTIABLE FUNCTIONALS." Taiwanese J. Math. 4 (4) 627 - 634, 2000. https://doi.org/10.11650/twjm/1500407296
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