We prove the existence of infinitely many periodic solutions for radially symmetric systems with a singularity of repulsive type. The nonlinearity is assumed to have a linear growth at infinity, being controlled by two constants which have a precise interpretation in terms of the Dancer-Fucik spectrum. Our result generalizes an existence theorem by Del Pino et al. (1992), obtained in the case of a scalar second order differential equation.
Radially symmetric systems with a singularity and asymptotically linear growth
TOADER, Rodica
2011-01-01
Abstract
We prove the existence of infinitely many periodic solutions for radially symmetric systems with a singularity of repulsive type. The nonlinearity is assumed to have a linear growth at infinity, being controlled by two constants which have a precise interpretation in terms of the Dancer-Fucik spectrum. Our result generalizes an existence theorem by Del Pino et al. (1992), obtained in the case of a scalar second order differential equation.File in questo prodotto:
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