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

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: FRACTIONAL CALCULUS AND APPLIED ANALYSIS; v. 23, n. 3, p. 723-752, JUN 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 19/02512-5 - Sistemas e equações diferenciais parciais
• Beneficiário: Marcelo da Silva Montenegro
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/23917-3 - Operadores com crescimento não standard
• Beneficiário: Alessio Fiscella
• Modalidade de apoio: Auxílio à Pesquisa - Regular