Qiu, MeilanMei, Liquan2018-09-272018-09-272014-07-02Meilan Qiu and Liquan Mei, “Existence of Weak Solutions for Nonlinear Time-Fractional -Laplace Problems,” Journal of Applied Mathematics, vol. 2014, Article ID 231892, 9 pages, 2014. doi:10.1155/2014/231892http://hdl.handle.net/1880/108199https://doi.org/10.11575/PRISM/44181The existence of weak solution for -Laplace problem is studied in the paper. By exploiting the relationship between the Nehari manifold and fibering maps and combining the compact imbedding theorem and the behavior of Palais-Smale sequences in the Nehari manifold, the existence of weak solutions is established. By means of the Arzela-Ascoli fixed point theorem, some existence results of the corresponding time-fractional equations of the -Laplace problem are obtained.Journal Article2018-09-27enCopyright © 2014 Meilan Qiu and Liquan Mei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.https://doi.org/10.1155/2014/231892