Browsing by Author "Qiu, Meilan"

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    Existence of Weak Solutions for Nonlinear Time-Fractional -Laplace Problems
    (2014-07-02) Qiu, Meilan; Mei, Liquan
    The 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.