Existence of Weak Solutions for Nonlinear Time-Fractional -Laplace Problems

Meilan Qiu and Liquan Mei

Journal of Applied Mathematics, 2014, vol. 2014, 1-9

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:231892

DOI: 10.1155/2014/231892

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