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Infinitely many solutions to superquadratic planar Dirac-type systems

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  • It is proved the existence of infinitely many solutions to a superquadratic Dirac-type boundary value problem of the form $\tau z = \nabla_z F(t,z)$, $y(0) = y(\pi) = 0$ ($z=(x,y)\in \mathbb{R}^2 $). Solutions are distinguished by using the concept of rotation number. The proof is performed by a global bifurcation technique.
    Mathematics Subject Classification: Primary: 34B15, 34C23; Secondary: 37E45.


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