Morse theory for a fourth order elliptic equation with exponential nonlinearity (2009)
Abatangelo, Laura, Portaluri, Alessandro
In this paper we compute the Leray Schauder degree for a fourth order elliptic boundary value problem with exponential nonlinearity and Navier boundary condition. This will be made by proving a...
A $K$-theoretical invariant and bifurcation for a parameterized family of functionals (2009)
For a family of functionals defined on a Hilbert manifold and smoothly depending on a compact finite dimensional manifold, we give a sufficient condition on the parameter space in such a way the...
Brief communication. An indefinite Sturm theory (2008)
Sturm theory for second order differential equations was generalized to systems and higher order equations with positive leading coefficient by several authors. Here we propose a Sturm oscillation...
The homology of path spaces and Floer homology with conormal boundary conditions (2008)
Abbondandolo, Alberto, Portaluri, Alessandro, Schwarz, Matthias
We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold satisfying non-local conormal boundary conditions. We prove that the homology of this chain complex is...
Maslov index for Hamiltonian systems (2008)
The aim of this article is to give an explicit formula for computing the Maslov index of the fundamental solutions of linear autonomous Hamiltonian systems in terms of the Conley-Zehnder index and...
The homology of path spaces and Floer homology with conormal boundary conditions (2008)
Abbondandolo, Alberto, Portaluri, Alessandro, Schwarz, Matthias
We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold satisfying non-local conormal boundary conditions. We prove that the homology of this chain complex is...
On the dihedral n-body problem (2007)
Ferrario, Davide L., Portaluri, Alessandro
Consider n=2l>=4 point particles with equal masses in space, subject to the following symmetry constraint: at each instant they form an orbit of the dihedral group D_l, where D_l is the group of...
A generalized Sturm theory for indefinite elliptic systems (2007)
The goal of this paper is to give a generalization of the Sturm's Oscillation and Comparison theorem in the case of formally selfadjoint ordinary differential operator of even order having strongly...
Maslov index of Hamiltonian systems (2004)
The aim of this paper is to give an explicit formula in order to compute the Maslov index of the fundamental solution of a linear autonomous Hamiltonian system, in terms of the Conley-Zehnder index...
A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation (2003)
Piccione, Paolo, Portaluri, Alessandro
By decision of the first author, the paper will no longer be available.
A Morse Index Theorem and bifurcation for perturbed geodesics on Semi-Riemannian Manifolds (2003)
Musso, Monica, Pejsachowicz, Jacobo, Portaluri, Alessandro
Perturbed geodesics are trajectories of particles moving on a semi-Riemannian manifold in the presence of a potential. Our purpose here is to extend to perturbed geodesics on semi-Riemannian...
Spectral Flow, Maslov Index and Bifurcation of semi-Riemannian Geodesics (2002)
Piccione, Paolo, Portaluri, Alessandro, Tausk, Daniel V.
We give a functional analytical proof of the equality between the Maslov index of a semi-Riemannian geodesic and the spectral flow of the path of self-adjoint Fredholm operators obtained from the...