Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power Articles uri icon

publication date

  • July 2021

start page

  • 1

end page

  • 26

International Standard Serial Number (ISSN)

  • WWWW-0074


  • We consider the existence of bound and ground states for a family of nonlinear
    elliptic systems in RN , which involves equations with critical power nonlinearities and Hardy-
    type singular potentials. The equations are coupled by what we call "Schrodinger-Korteweg-
    de Vries" non-symmetric terms, which arise in some phenomena of fluid mechanics. By means
    of variational methods, ground states are derived for several ranges of the positive coupling
    parameter ν. Moreover, by using min-max arguments, we seek bound states under some
    energy assumptions.


  • systems of elliptic equations, variational methods, ground states, bound states; compactness principles, critical sobolev, hardy potential, doubly critical problems