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2021 Critical Kirchhoff-Choquard system involving the fractional $p$-Laplacian operator and singular nonlinearities
Yanbin Sang
Topol. Methods Nonlinear Anal. 58(1): 233-274 (2021). DOI: 10.12775/TMNA.2020.070

Abstract

In this paper we study a class of critical fractional $p$-Laplacian Kirchhoff-Choquard systems with singular nonlinearities and two parameters $\lambda$ and $\mu$. By discussing the Nehari manifold structure and fibering maps analysis, we establish the existence of two positive solutions for above systems when $\lambda$ and $\mu$ satisfy suitable conditions.

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Yanbin Sang. "Critical Kirchhoff-Choquard system involving the fractional $p$-Laplacian operator and singular nonlinearities." Topol. Methods Nonlinear Anal. 58 (1) 233 - 274, 2021. https://doi.org/10.12775/TMNA.2020.070

Information

Published: 2021
First available in Project Euclid: 21 September 2021

Digital Object Identifier: 10.12775/TMNA.2020.070

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.58 • No. 1 • 2021
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