Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$
Keywords
Maslov index, bifurcation, boundary value problemsAbstract
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.Downloads
Published
2008-03-01
How to Cite
1.
CAPIETTO, Anna and DAMBROSIO, Walter. Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$. Topological Methods in Nonlinear Analysis. Online. 1 March 2008. Vol. 31, no. 1, pp. 19 - 28. [Accessed 29 March 2024].
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