Ground State Solutions of Kirchhoff-type Fractional Dirichlet Problem with p-Laplacian

2016/07/06 by Chen, Taiyong, Liu, Wenbin, Jin, Hua
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.01586

Abstract

We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem.

Related

• Existence and Multiplicity of Nontrivial Weak Solutions for Kirchhoff-type Fractional p-Laplacian Equation
• Existence of solutions for Kirchhoff-type fractional Dirichlet problem with p-Laplacian
• Infinitely Many Weak Solutions for Fractional Dirichlet Problem with p-Laplacian
• Signed and sign-changing solutions for a class Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity
• Kirchhoff-type equations involving the Fractional (p,q)-Laplacian