@article{Yan2026, 
author = {Weijun Yan and Zhiqi Xie and Jiabao Su},
title = {A bounded resonant problem for the elliptic equation involving the square root of the Laplacian},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {7},
pages = {4947-4967},
keywords = {the square root of the Laplacian, critical groups, morse theory, resonance, local linking},
url = {https://www.sciopen.com/article/10.3934/era.2026219},
doi = {10.3934/era.2026219},
abstract = {In this paper, we obtained the existence of nontrivial solutions of the nonlocal elliptic equation involving the square root of the Laplacian with asymptotic linear resonance at infinity perturbed by a bounded nonlinearity. We made use of a penalized method, local linking and Morse theory.}
}