Fractional Choquard Equations with Confining Potential With or Without Subcritical Perturbations-Reference-Cited by-同舟云学术

Fractional Choquard Equations with Confining Potential With or Without Subcritical Perturbations

Published:2019-10-02 Issue:1 Volume:20 Page:163-183
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Mugnai Dimitri¹^ORCID,Proietti Lippi Edoardo²

Affiliation:

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

2. Department of Mathematics and Informatics , University of Florence , Viale Morgagni 67/A, 50134 Firenze , Italy

Abstract

Abstract In this paper, we consider fractional Choquard equations with confining potentials. First, we show that they admit a positive ground state and infinitely many bound states. Then we prove the existence of two signed solutions when a superlinear and subcritical perturbation is added; in this case, the main feature is that such a perturbation does not satisfy the usual Ambrosetti–Rabinowitz condition.

Funder

Ministero dell’Istruzione, dell’Università e della Ricerca

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2019-2062/pdf

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