Critical and subcritical fractional Hamiltonian systems of Schrodinger equations with vanishing potentials

Autor(es)

Miyagaki, O. H. ; Santana, C. R. ; Toon, E. ; Ubilla, P.

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 229, p. 18-pg., 2023-01-07.

Resumo

We analyze a class of fractional Hamiltonian systems of Schrodinger equations in RN involving vanishing potential with critical and subcritical nonlinearity. We make use of variational methods to prove the existence of at least one pair of positive solutions. Our result in the critical case is new even for the Laplacian operator. (c) 2022 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 19/24901-3 - Problema quase linear não local crítica: existência, multiplicidade e propriedades das soluções
• Beneficiário: Olimpio Hiroshi Miyagaki
• Modalidade de apoio: Auxílio à Pesquisa - Regular