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arXiv · 1811.09555

Signed and sign-changing solutions for a class Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity

Rodrigo de Freitas Gabert·Rodrigo da Silva Rodrigues
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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, Ekeland's variational principle and constrained minimization in Nehari sets.

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Rodrigo de Freitas Gabert, Rodrigo da Silva Rodrigues. 2018-11-23. Signed and sign-changing solutions for a class Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity. https://arxiv.org/abs/1811.09555

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