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arXiv · 1410.5638

A Generalized Palais-Smale Condition in the Fr\'echet space setting

Kaveh Eftekharinasab
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Abstract

We extend the Palais-Smale condition to Keller's $C_c^1$-functionals on Fr\'{e}chet spaces. Using this condition together with Ekeland's variational principle, we obtain some results regarding the existence of minima. In this setting, we prove that the Palais-Smale condition for functionals bounded below implies the coercivity.

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BibTeXRIS

Kaveh Eftekharinasab. 2014-10-21. A Generalized Palais-Smale Condition in the Fr\'echet space setting. https://doi.org/10.15673/tmgc.v11i1.915

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