| Abstract: |
| Given a real-valued function having a nondegenerate compact manifold of critical points, some of these points survive under small C2-perturbations. This is a well-known result in critical point theory. In 1986, Weinstein obtained the analogous conclusions when the perturbation is only C1 and the ambient space is a finite-dimensional manifold. In this work we present a complete proof for C1 perturbations in infinite-dimensional Hilbert spaces.
This is a joint work with R. Ortega |
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