The Palais–Smale compactness condition, named after Richard Palais and Stephen Smale, is a hypothesis for some theorems of the calculus of variations… (More)

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2011

2011

- Elliot Tonkes
- Int. J. Math. Mathematical Sciences
- 2011

This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale… (More)

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2007

2007

- W. B. Gordon
- 2007

1. Using variational techniques we have found conditions which insure the existence of trajectories to conservative dynamical… (More)

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2006

2006

In this paper, we establish a variant of Ekeland’s variational principle. This result suggest to introduce a generalization of… (More)

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2005

2005

We consider the following nonlinear singular elliptic equation −div (|x| −2a ∇u) = K(x)|x| −bp |u| p−2 u + λg(x) in R N , where g… (More)

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2003

2003

We prove that for a uniformly convex Lagrangian system L on a compact manifold M , almost all energy levels contain a periodic… (More)

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2002

2002

A version of Zhong’s coercivity result (1997) is established for nonsmooth functionals expressed as a sum Φ +Ψ, where Φ is… (More)

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2001

2001

Fixing a complete Riemannian metric g on Rn, we show that a local diffeomorphism f : Rn → Rn is bijective if the height function… (More)

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2001

2001

This paper is concerned with index pairs in the sense of Conley index theory for flows relative to pseudo-gradient vector fields… (More)

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2000

2000

- Hwai-chiuan Wang
- 2000

Let Ω ⊂ RN be the upper half strip with a hole. In this paper, we show there exists a positive higher energy solution of… (More)

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1998

1998

- Anders Linnér
- 1998

This paper considers the negative gradient trajectories associated with the modified total squared curvature functional ∫ k2… (More)

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