The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product
The dual variational principle and discontinuous elliptic problems with strong resonance at infinity.
The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations.
The existence of critical values in an abstract perturbation problem.
The existence of polar non-degenerate functions on a topological manifold
The existence of positive solution to some asymptotically linear elliptic equations in exterior domains.
In this paper, we are concerned with the asymptotically linear elliptic problem -Δu + λ0u = f(u), u ∈ H01(Ω) in an exterior domain Ω = RnO (N ≥ 3) with O a smooth bounded and star-shaped open set, and limt→+∞ f(t)/t = l, 0 < l < +∞. Using a precise deformation lemma and algebraic topology argument, we prove under our assumptions that the problem possesses at least one positive solution.
The generalized Conley index and multiple solutions of semilinear elliptic problems.
The geometric complex for algebraic curves with cone-like singularities and admissible Morse functions
In a previous note the author gave a generalisation of Witten’s proof of the Morse inequalities to the model of a complex singular curve and a stratified Morse function . In this note a geometric interpretation of the complex of eigenforms of the Witten Laplacian corresponding to small eigenvalues is provided in terms of an appropriate subcomplex of the complex of unstable cells of critical points of .
The index of the second variation of a control system
The Lagrange Intersections for (CPn, RPn).
The minimal period problem of classical hamiltonian systems with even potentials
The number of critical points in Morse approximations
The structure of the critical set in the general mountain pass principle
The use of Cerami sequences in critical point theory.
Théorie de Morse (d'après E. Witten)
Timelike trajectories with fixed energy under a potential in static spacetimes.
Topology and closed characteristics of -contact manifolds.
Toward optimality in discrete Morse theory.
T-Periodic Solutions of Time Dependent Hamiltonian Systems with a Potential Vanishing at Infinity.
Trajectories under a vectorial potential on stationary manifolds.