Essential Site Maintenance: Authorea-powered sites will be updated circa 15:00-17:00 Eastern on Tuesday 5 November.
There should be no interruption to normal services, but please contact us at [email protected] in case you face any issues.

loading page

Ground state and multiple solutions for Schrödinger-Bopp-Podolsky system with critical nonlinearity
  • Lintao Liu,
  • Haibo Chen
Lintao Liu
Central South University

Corresponding Author:[email protected]

Author Profile
Haibo Chen
Department of Mathematics, Central South University
Author Profile

Abstract

In this paper, we study the following nonlinear Schrödinger-Bopp-Podolsky system: −∆u + u + l(x)φu = a(x)|u|p−2u + µb(x)|u|q−2u + |u|5, in R3, −∆φ + a2∆2φ = l(x)u2, in R3, where p,q ∈ (4,6), µ > 0, l(x), a(x) and b(x) are nonnegative continuous functions. Under some certain assumptions, we prove the above system have ground state and multiple solutions by using variational.