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1. CJM 2009 (vol 62 pp. 242)
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A Second Order Smooth Variational Principle on Riemannian Manifolds We establish a second order smooth variational principle valid for functions defined on (possibly infinite-dimensional) Riemannian manifolds which are uniformly locally convex and have a strictly positive injectivity radius and bounded sectional curvature.
Keywords:smooth variational principle, Riemannian manifold Categories:58E30, 49J52, 46T05, 47J30, 58B20 |
2. CJM 2001 (vol 53 pp. 1174)
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A Generalized Variational Principle We prove a strong variant of the Borwein-Preiss variational principle, and
show that on Asplund spaces, Stegall's variational principle follows
from it via a generalized Smulyan test. Applications are discussed.
Keywords:variational principle, strong minimizer, generalized Smulyan test, Asplund space, dimple point, porosity Category:49J52 |