Cohomology and Morse theory for strongly indefinite functionals.
Concentration phenomena for fourth-order elliptic equations with critical exponent.
Conley index in Hilbert spaces and a problem of Angenent and van der Vorst
In a recent paper [9] we presented a Galerkin-type Conley index theory for certain classes of infinite-dimensional ODEs without the uniqueness property of the Cauchy problem. In this paper we show how to apply this theory to strongly indefinite elliptic systems. More specifically, we study the elliptic system in Ω, in Ω, u = 0, v = 0 in ∂Ω, (A1) on a smooth bounded domain Ω in for "-"-type Hamiltonians H of class C² satisfying subcritical growth assumptions on their first order derivatives....
Controlled connectivity of closed 1-forms.
Convergence of Gradient Curves on Hilbert Manifolds.
Convex billiards and a theorem by E. Hops.
Convex functions on complete noncompact manifolds : differentiable structure
Coordinate morse theory.
Critical configurations of planar robot arms
It is known that a closed polygon P is a critical point of the oriented area function if and only if P is a cyclic polygon, that is, P can be inscribed in a circle. Moreover, there is a short formula for the Morse index. Going further in this direction, we extend these results to the case of open polygonal chains, or robot arms. We introduce the notion of the oriented area for an open polygonal chain, prove that critical points are exactly the cyclic configurations with antipodal endpoints and derive...
Critical groups computations on a class of Sobolev Banach spaces via Morse index
Critical groups of critical points produced by local linking with applications.
Critical point theorems.
Critical point theorems on Finsler manifolds.
Critical point theory and nonlinear differential equations
Critical point theory for perturbations of symmetric functionals.
Critical point theory with symmetries.
Critical points at infinity in the variational calculus
Critical points of asymptotically quadratic functions
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.
Critical points of solutions of elliptic equations in two variables
Critical sets in 3-space