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Displaying similar documents to “A gradient inequality at infinity for tame functions.”

Critical points of asymptotically quadratic functions

Michal Fečkan (1995)

Annales Polonici Mathematici

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Existence results for critical points of asymptotically quadratic functions defined on Hilbert spaces are studied by using Morse-Conley index and pseudomonotone mappings. Applications to differential equations are given.

Equivariant maps of joins of finite G-sets and an application to critical point theory

Danuta Rozpłoch-Nowakowska (1992)

Annales Polonici Mathematici

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A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function f : S n , where G is a finite nontrivial group acting freely and orthogonally on n + 1 0 . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.

Existence results for the prescribed Scalar curvature on S 3

Randa Ben Mahmoud, Hichem Chtioui (2011)

Annales de l’institut Fourier

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This paper is devoted to the existence of conformal metrics on S 3 with prescribed scalar curvature. We extend well known existence criteria due to Bahri-Coron.