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

[摘要] The existence of weak solution forp-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 thep-Laplace problem are obtained.

[学科分类] 应用数学