Existence of Weak Solutions for Nonlinear Time-Fractional -Laplace Problems
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2014-07-02
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Abstract
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.
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Meilan 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:10.1155/2014/231892