DEGENERATE KIRCHHOFF (p,q)-FRACTIONAL SYSTEMS WITH CRITICAL NONLINEARITIES

Author(s)

Fiscella, Alessio ^[1] ; Pucci, Patrizia ^[2]

Affiliation

^[1] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

^[2] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia - Italy

• Document type: Journal article
• Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS; v. 23, n. 3, p. 723-752, JUN 2020.
• Web of Science Citations: 0

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. (AU)

• FAPESP's process: 19/02512-5 - Systems and partial differential equations
• Grantee: Marcelo da Silva Montenegro
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 19/23917-3 - Operator with non standard growth
• Grantee: Alessio Fiscella
• Support Opportunities: Regular Research Grants