p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities-Reference-Cited by-同舟云学术

p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities

Published:2018-06-30 Issue:1 Volume:8 Page:1111-1131
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
language:
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Author:

Fiscella Alessio¹,Pucci Patrizia²,Zhang Binlin³

Affiliation:

1. Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda, 651, Campinas, SP CEP 13083-859 Brazil

2. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

3. Department of Mathematics, Heilongjiang Institute of Technology, Hongqi Street 999, Harbin, 150050, P. R. China

Abstract

Abstract This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator. Existence is derived as an application of the mountain pass theorem and the Ekeland variational principle. The main features and novelty of the paper are the presence of the Hardy terms as well as critical nonlinearities.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/8/1/article-p1111.xml

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