Remarks on an eigenvalue problem associated with the -Laplace operator.
Remarks on critical exponents for hessian operators
Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems
Remarques sur les équations de Navier-Stokes stationnaires
Rigidity and gluing for Morse and Novikov complexes
We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well as for the Novikov complex of a circle-valued Morse function. A rigidity result is also proved for the Floer complex of a hamiltonian defined on a closed symplectic manifold with . The rigidity results for these complexes show that the complex of a fixed generic function/hamiltonian is a retract of the Morse (respectively Novikov or Floer) complex of any other sufficiently close generic function/hamiltonian....
Rotationally invariant periodic solutions of semilinear wave equations.
Saddle Points and Multiple Solutions of Differential Equations.
Second order information on Palais-smale sequences in the mountain pass theorem.
Semilinear elliptic equations having asymptotic limits at zero and infinity.
Singly periodic solutions of a semilinear equation
Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian
This article follows the previous works [HeKlNi, HeNi] by Helffer-Klein-Nier and Helffer-Nier about the metastability in reversible diffusion processes via a Witten complex approach. Again, exponentially small eigenvalues of some self-adjoint realization of are considered as the small parameter tends to . The function is assumed to be a Morse function on some bounded domain with boundary . Neumann type boundary conditions are considered. With these boundary conditions, some possible simplifications...
Solution to a semilinear problem on type II regions determined by the Fučik spectrum.
Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
Solutions of Minimal Period for a Class of Convex Hamiltonian Systems.
Some perturbation results for non-linear problems
We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.
Some remarks on -actions with sections
Some remarks on the discrete Morse-Smale characteristic.
Some results concerning the number of critical points of a smooth map.
Some results on critical groups for a class of functionals defined on Sobolev Banach spaces
We present critical groups estimates for a functional defined on the Banach space , bounded domain in , , associated to a quasilinear elliptic equation involving -laplacian. In spite of the lack of an Hilbert structure and of Fredholm property of the second order differential of in each critical point, we compute the critical groups of in each isolated critical point via Morse index.
Some variational theorems of mixed type and elliptic problems with jumping nonlinearities