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

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Author(s):
Miyagaki, O. H. ; Santana, C. R. ; Toon, E. ; Ubilla, P.
Total Authors: 4
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 229, p. 18-pg., 2023-01-07.
Abstract

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)

FAPESP's process: 19/24901-3 - Critical nonlocal quasilinear problem: existence, multiplicity and properties of the solutions
Grantee:Olimpio Hiroshi Miyagaki
Support Opportunities: Regular Research Grants