Abstract
In this paper it is studied the Dirichlet problem associated to the planar system $z'=J\nabla F(t,z)$. 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.
Citation
Anna Capietto. Walter Dambrosio. "Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$." Topol. Methods Nonlinear Anal. 31 (1) 19 - 28, 2008.
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