Existence of Weak Solutions for Nonlinear Time‐Fractional p‐Laplace Problems

Meilan Qiu and Liquan Mei

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: The existence of weak solution for p‐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 p‐Laplace problem are obtained.

Date: 2014
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https://doi.org/10.1155/2014/231892

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:231892

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