Existence of Periodic Solutions for some Singular Elliptic Equations with Strong Resonant Data
Analysis of PDEs
2011-12-15 v1
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.
Keywords
Cite
@article{arxiv.1112.3267,
title = {Existence of Periodic Solutions for some Singular Elliptic Equations with Strong Resonant Data},
author = {Laura Gonella},
journal= {arXiv preprint arXiv:1112.3267},
year = {2011}
}