Existence of periodic solutions for some singular elliptic equations with strong resonant data
Keywords
$\Phi$-laplacian, strong resonance condition, periodic solutionsAbstract
We prove the existence of at least one $T$-periodic solution $(T> 0)$ for differential equations of the form $$ \left(\frac{u'(t)}{\sqrt{1-{u'}^2(t)}}\right)' =f(u(t))+h(t),\quad \text{in } (0,T), $$ where $f$ is a continuous function defined on $\mathbb{R}$ that satisfies a {\it strong resonance condition}, $h$ is continuous and with zero mean value. Our method uses variational techniques for nonsmooth functionals.Downloads
Published
2016-04-12
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1.
GONELLA, Laura. Existence of periodic solutions for some singular elliptic equations with strong resonant data. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 157 - 170. [Accessed 28 March 2024].
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