Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$
KeywordsMaslov index, bifurcation, boundary value problems
AbstractIn 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.
How to Cite
CAPIETTO, Anna & DAMBROSIO, Walter. Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$. Topological Methods in Nonlinear Analysis [online]. 1 March 2008, T. 31, nr 1, s. 19–28. [accessed 5.12.2021].
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