Existence result for fractional Schrödinger–Poisson systems involving a Bessel operator without Ambrosetti–Rabinowitz condition. (1st January 2018)

• Record Type: Journal Article
• Authors: Shen, Liejun
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 1(2018)
• Page Start: 296
• Page End: 306
• Publication Date: 2018-01-01
• Subjects: Fractional Schrödinger–Poisson systems -- Bessel operator -- Perturbation method -- Ambrosetti–Rabinowitz type condition -- Monotone assumption; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.09.011
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: The present study is concerned with the nontrivial solutions for fractional Schrödinger–Poisson system with the Bessel operator. Under certain assumptions on the nonlinearity f, a nontrivial nonnegative solution is obtained by perturbation method for the given problem. In particular, the Ambrosetti–Rabinowitz type condition or the monotone assumption on the nonlinearity is unnecessary.