On a logarithmic Hartree equation
Bernini Federico, Mugnai Dimitri
Advances in Nonlinear Analysis · 2019
doi:10.1515/anona-2020-0028 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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