Variational approach for a class of cooperative systems Articles uri icon

publication date

  • September 2012

start page

  • 5620

end page

  • 5638

issue

  • 14

volume

  • 75

international standard serial number (ISSN)

  • 0362-546X

electronic international standard serial number (EISSN)

  • 1873-5215

abstract

  • The aim of this work is to ascertain the characterization of the existence of coexistence states for a class of cooperative systems supported by the study of an associated non-local equation through classical variational methods. Thanks to those results, we are able to obtain the blow-up behavior of the solutions in the whole domain for certain values of the main continuation parameter.

keywords

  • coexistence states; cooperative systems; variational methods; non-local problems