Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity

By Jianjun Zhang, J. do Ó, Marco Squassina. 2015

147 citations recorded by the source corpus.

Abstract We consider a fractional Schrödinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/58f87a460410f7a932afc00c8712b5d529c9f20e

Citations in the corpus

• Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth (2017, unknown): “Notice that, in [49], the ground state solutions are obtained in the radially symmetric space H sr ( R 3 ), where ) will be defined in Section 2.”