Existence results for one-dimensional fractional equations
Classical Analysis and ODEs
2014-02-10 v1
Abstract
In this note a critical point result for differentiable functionals is exploited in order to prove that a suitable class of one-dimensional fractional problems admits at least one non-trivial solution under an asymptotical behaviour of the nonlinear datum at zero. A concrete example of an application is then presented.
Cite
@article{arxiv.1402.1529,
title = {Existence results for one-dimensional fractional equations},
author = {Marek Galewski and Giovanni Molica Bisci},
journal= {arXiv preprint arXiv:1402.1529},
year = {2014}
}