Infinitely Many Solutions for Critical Degenerate Kirchhoff Type Equations Involving the Fractional p-Laplacian

Binlin Z; Fiscella A; Liang SH

Applied Mathematics and Optimization, Vol.80, No.1, 63-80, 2019

DOI10.1007/s00245-017-9458-5 Export Citation

Infinitely Many Solutions for Critical Degenerate Kirchhoff Type Equations Involving the Fractional p-Laplacian

In this paper we study a class of critical Kirchhoff type equations involving the fractional p-Laplacian operator, that is M R2N | u( x) - u( y)| p | x - y| N+ ps dxdy (- ) s pu=.w( x)| u| q- 2u + | u| p * s - 2u, x. RN where ps is the fractional p-Laplacian operator with 0ps, 1

Keywords:Fractional p-Laplacian;Degenerate Kirchhoff equations;Critical Sobolev exponent;Variational methods