Continuous phase transition of higher-dimensional de-Sitter spacetime with non-linear source Yun-Zhi Du, Huai-Fan Li and Li-Chun Zhang Eur. Phys. J. C, 82 4 (2022) 370 Published online: 27 April 2022 DOI: 10.1140/epjc/s10052-022-10324-x