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Search: All articles in the CJM digital archive with keyword variational principle

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1. CJM 2009 (vol 62 pp. 242)

Azagra, Daniel; Fry, Robb
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)

Loewen, Philip D.; Wang, Xianfu
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

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