Calculus of Variations and Partial Differential Equations

, Volume 46, Issue 1, pp 325-351

First online:

Weakly coupled nonlinear Schrödinger systems: the saturation effect

  • Liliane de Almeida MaiaAffiliated withDepartmento de Matemática, Universidade de Brasília
  • , Eugenio MontefuscoAffiliated withDipartimento di Matematica, Sapienza Università di Roma Email author 
  • , Benedetta PellacciAffiliated withDipartimento di Scienze Applicate, Università degli Studi di Napoli Parthenope

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We study the existence of solutions for a class of saturable weakly coupled Schrödinger systems. In most of the cases we show that least energy solutions have necessarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.

Mathematics Subject Classification (2010)

35J20 35Q55 35Q60