@article{Lv2022, 
author = {Zhiwei Lv and Jiafa Xu and Donal O'Regan},
title = {Solvability for a fractional    p-Laplacian equation in a bounded domain},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {13258-13270},
keywords = {fractional p-Laplacian equation, weak solution, topological degree, fountain theorem, (p − 1)-asymptotically linear, Landesman-Lazer type condition},
url = {https://www.sciopen.com/article/10.3934/math.2022731},
doi = {10.3934/math.2022731},
abstract = {In this paper we use the topological degree and the fountain theorem to study the existence of weak solutions for a fractional    p-Laplacian equation in a bounded domain. For the nonlinearity    f, we consider two situations: (1) the non-resonance case where    f is    (  p  −  1  )-asymptotically linear at infinity; (2) the resonance case where    f satisfies the Landesman-Lazer type condition.}
}