Degenerate Kirchhoff (p, q)–Fractional systems with critical nonlinearities-Reference-Cited by-同舟云学术

Degenerate Kirchhoff (p, q)–Fractional systems with critical nonlinearities

Published:2020-06-01 Issue:3 Volume:23 Page:723-752
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Fiscella Alessio¹,Pucci Patrizia²

Affiliation:

1. Departament. 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

Abstract

Abstract This paper deals with the existence of nontrivial solutions for critical possibly degenerate Kirchhoff fractional (p, q) systems. For clarity, the results are first presented in the scalar case, and then extended into the vectorial framework. The main features and novelty of the paper are the (p, q) growth of the fractional operator, the double lack of compactness as well as the fact that the systems can be degenerate. As far as we know the results are new even in the scalar case and when the Kirchhoff model considered is non–degenerate.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0036/pdf

Reference41 articles.

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