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Signed and sign-changing solutions for a Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity
Authors:Rodrigo F. Gabert  Rodrigo S. Rodrigues
Affiliation:Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, 13565-905 SP, Brazil
Abstract:In this paper, we study the existence of three solutions for a Kirchhoff equation involving the nonlocal fractional p-Laplacian considering Sobolev and Hardy nonlinearities at subcritical and critical growths. The proof is based on mountain pass theorem and constrained minimization in Nehari sets.
Keywords:critical exponents  fractional p-Laplacian  Kirchhoff problem
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