Minimizers to Rayleigh quotients of critical elliptic systems involving different Hardy-type terms

doi:10.1016/j.aml.2016.01.009

Applied Mathematics Letters

Volume 57, July 2016, Pages 97-103

https://doi.org/10.1016/j.aml.2016.01.009 Get rights and content

Under an Elsevier user license

open archive

Abstract

In this paper, a system of semilinear elliptic equations is investigated, which involves homogeneous critical nonlinearities and different Hardy-type terms. By variational methods, the existence of minimizers to the Rayleigh quotient and ground state solutions to the system is verified completely.

Keywords

Elliptic system

Critical nonlinearity

Hardy-type term

Minimizer to Rayleigh quotient