Signed and sign-changing solutions for a Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity |
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Authors: | Rodrigo F. Gabert Rodrigo S. Rodrigues |
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Affiliation: | Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, 13565-905 SP, Brazil |
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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. |
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Keywords: | critical exponents fractional p-Laplacian Kirchhoff problem |
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