@article{Ouyang2025, 
author = {Kexin Ouyang and Xinmin Qu and Huiqin Lu},
title = {Sign-changing and signed solutions for fractional Laplacian equations with critical or supercritical nonlinearity},
year = {2025},
journal = {Mathematical Modelling and Control},
volume = {5},
number = {1},
pages = {1-14},
keywords = {variational method, fractional Laplacian equation, Moser iteration method, truncation argument, supercritical growth},
url = {https://www.sciopen.com/article/10.3934/mmc.2025001},
doi = {10.3934/mmc.2025001},
abstract = {In this paper, we investigate the existence of sign-changing and signed solutions for nonlinear elliptic equations driven by nonlocal integro-differential operators with critical or supercritical nonlinearity. By combining an appropriate truncation argument with a constrained minimization method and the Moser iteration method, we obtain a sign-changing solution and a signed solution for them under some suitable assumptions. As a particular case, we drive an existence theorem of sign-changing and signed solutions for the fractional Laplacian equations with critical or supercritical growth.}
}