Existence of periodic solutions for some singular elliptic equations with strong resonant data
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Publication:519496
DOI10.12775/TMNA.2014.010zbMATH Open1360.34092arXiv1112.3267OpenAlexW1676212821MaRDI QIDQ519496
Author name not available (Why is that?)
Publication date: 4 April 2017
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1112.3267
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