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–Fučik spectrum. Our result generalizes an existence theorem by Del Pino, Manasevich and Murua, obtained in the case of a scalar second order differential equation.
Radially symmetric systems with a singularity and asymptotically linear growth / Fonda, Alessandro; Toader, R.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 74:(2011), pp. 2485-2496. [10.1016/j.na.2010.12.004]
Radially symmetric systems with a singularity and asymptotically linear growth
FONDA, ALESSANDRO;Toader R.
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–Fučik spectrum. Our result generalizes an existence theorem by Del Pino, Manasevich and Murua, obtained in the case of a scalar second order differential equation.Pubblicazioni consigliate
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