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Benhassine, Abderrazek

Existence of ground states solutions for Dirac-Poisson systems. (English) Zbl 1538.81012

São Paulo J. Math. Sci. 17, No. 2, 978-993 (2023).
Summary: This paper concerns the ground state solutions for the system of partial differential equations known as the Dirac-Poisson system. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
30C70 Extremal problems for conformal and quasiconformal mappings, variational methods

Keywords:

Dirac-Poisson system; variational methods; ground states solutions; strongly indefinite functionals
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References:

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