TY - JOUR AU - Capietto, Anna AU - Dambrosio, Walter PY - 2008/03/01 Y2 - 2024/03/29 TI - Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$ JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 31 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2008.002 SP - 19 - 28 AB - In this paper it is studied the Dirichlet problem associated to the planar system $z'=J abla F(t,z)$. We consider the situation where the Hamiltonian $F$ satisfies a superquadratic-type condition at infinity.By means of a bifurcation argument we prove the existence of infinitely many solutions. These solutions are distinguished by the Maslov index of an associated linear system. ER -