On a logarithmic Hartree equation

Autor: Bernini Federico, Mugnai Dimitri
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 850-865 (2019)
Druh dokumentu: article
ISSN: 2191-950X
DOI: 10.1515/anona-2020-0028
Popis: We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree equation with a logarithmic convolution term, and the existence of a positive and a negative solution is established via critical point theory.
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