期刊
ADVANCES IN NONLINEAR ANALYSIS
卷 9, 期 1, 页码 850-865出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/anona-2020-0028
关键词
planar Schrodinger-Poisson system; logarithmic Hartree equation; Hardy-Littlewood-Sobolev inequality; superlinear source
资金
- MIUR [2015KB9WPT_009]
- FFABR Fondo per il finanziamento delle attivita base di ricerca 2017
We study the existence of radially symmetric solutions for a nonlinear planar Schrodinger-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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