A Generalized Palais-Smale Condition in the Fréchet space setting
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| _version_ | 1866913868081528832 |
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| author | Eftekharinasab, Kaveh |
| author_facet | Eftekharinasab, Kaveh |
| contents | We extend the Palais-Smale condition to Keller's $C_c^1$-functionals on Fréchet 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1410_5638 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | A Generalized Palais-Smale Condition in the Fréchet space setting Eftekharinasab, Kaveh Differential Geometry We extend the Palais-Smale condition to Keller's $C_c^1$-functionals on Fréchet 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. |
| title | A Generalized Palais-Smale Condition in the Fréchet space setting |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1410.5638 |