45 citations · 53 across the 6 of their papers we have counts for
4 papers · 1 filter
Remarks on criticality and crisis in pure exchange economies
Jacobo Pejsachowicz
In the framework of the theory of Equilibrium Manifold of a Pure Exchange Economy, introduced by Balasko, we give a rigorous definition of a crisis transition and establish some in…
Bifurcation of Fredholm Maps II; The Dimension of the Set of Bifurcation Points
Jacobo Pejsachowicz
We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linea…
Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation
Jacobo Pejsachowicz
We associate to a parametrized family of nonlinear Fredholm maps possessing a trivial branch of zeroes an {\it index of bifurcation} which provides an algebraic measure…
A Morse Index Theorem and bifurcation for perturbed geodesics on Semi-Riemannian Manifolds
Monica Musso, Jacobo Pejsachowicz, Alessandro Portaluri
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-…