Existence of Periodic Solutions for some Singular Elliptic Equations with Strong Resonant Data

Laura Gonella

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arXiv · 1112.3267

Existence of Periodic Solutions for some Singular Elliptic Equations with Strong Resonant Data

Laura Gonella

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Abstract

We prove the existence of at least one T-periodic solution (T > 0) for differential equations of the form (u'(t)/sqrt{1-u'^2(t)})'=f(u(t))+h(t), in (0,T), where f is a continuous function defined on R that satisfies a strong resonance condition, h is continuous and with zero mean value. Our method uses variational techniques for nonsmooth functionals.

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Laura Gonella. 2011-12-14. Existence of Periodic Solutions for some Singular Elliptic Equations with Strong Resonant Data. https://arxiv.org/abs/1112.3267

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