# American Institute of Mathematical Sciences

2009, 2009(Special): 72-81. doi: 10.3934/proc.2009.2009.72

## Infinitely many solutions to superquadratic planar Dirac-type systems

 1 SISSA-ISAS International School for Advanced Studies, Via Beirut, 2-4 - 34014 Trieste, Italy 2 Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino

Received  July 2008 Revised  April 2009 Published  September 2009

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.
Citation: Alberto Boscaggin, Anna Capietto. Infinitely many solutions to superquadratic planar Dirac-type systems. Conference Publications, 2009, 2009 (Special) : 72-81. doi: 10.3934/proc.2009.2009.72
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