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math.DS2023
Bifurcation of closed orbits of Hamiltonian systems with application to geodesics of the Schwarzschild metric
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We investigate bifurcation of closed orbits with a fixed energy level for a class of nearly integrable Hamiltonian systems with two degrees of freedom. More precisely, we make a jo…
math.AP2023
Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains
Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1
We deal with the following semilinear equation in exterior domains \[-Δu + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where , $N\ge 3…