@article{Figueiredo_Moreira_Ruviaro_2021, title={Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth}, volume={58}, url={https://apcz.umk.pl/TMNA/article/view/35215}, DOI={10.12775/TMNA.2020.073}, abstractNote={Our main goal is to explore the existence of positive solutions for a class of nonlinear fractional SchrÃ¶dinger equation involving supercritical growth given by $$ (- \Delta)^{\alpha} u + V(x)u=p(u),\quad x\in \mathbb{R^N},\ N \geq 1. $$ We analyze two types of problems, with $V$ being periodic and asymptotically periodic; for this we use a variational method, a truncation argument and a concentration compactness principle.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Figueiredo, Giovany M. and Moreira, Sandra I. and Ruviaro, Ricardo}, year={2021}, month={Sep.}, pages={335â€“349} }