Fractional logarithmic Schr\"odinger equations
Analysis of PDEs
2014-12-02 v1
Abstract
By means of non-smooth critical point theory we obtain existence of infinitely many weak solutions of the fractional Schr\"odinger equation with logarithmic nonlinearity. We also investigate the H\"older regularity of the weak solutions.
Cite
@article{arxiv.1412.0270,
title = {Fractional logarithmic Schr\"odinger equations},
author = {Pietro d'Avenia and Marco Squassina and Marianna Zenari},
journal= {arXiv preprint arXiv:1412.0270},
year = {2014}
}
Comments
10 pages