On a logarithmic Hartree equation-Reference-Cited by-同舟云学术

On a logarithmic Hartree equation

Published:2019-08-29 Issue:1 Volume:9 Page:850-865
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Bernini Federico¹,Mugnai Dimitri²

Affiliation:

1. Department of Mathematics and Applications , University of Milano - Bicocca , Via R. Cozzi 55, 20125 , Milano , Italy

2. Department of Ecology and Biology (DEB) , Tuscia University, Largo dell’Università , 01100 , Viterbo , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

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