Infinitely Many Weak Solutions for Fractional Dirichlet Problem with p-Laplacian

2016/05/30 by Taiyong Chen, Wenbin Liu, Chen, Taiyong +3
Mathematics · Computer Science · #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1605.09238

Abstract

We focus on the study of p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the genus properties in critical point theory, we establish some new criteria to guarantee the existence of infinitely many weak solutions for the considered problem.

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