Existence of minimizers for some coupled nonlinear Schrödinger equations

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Abstract

The existence and nonexistence of minimizers for two minimizing problems are considered. These problems are related to three coupled nonlinear Schrödinger equations which appear in the field of nonlinear optics. We observe the relationship between two minimizing problems and also study the asymptotic behavior when the coefficient standing for the nonlocal nonlinearity tend to 0.

Original languageEnglish
Pages (from-to)143-164
Number of pages22
JournalSpringer INdAM Series
Volume2
DOIs
Publication statusPublished - 2013 Jan 1
Externally publishedYes

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Keywords

  • Minimization problem
  • Nonlocal nonlinearity
  • Two constraints conditions

ASJC Scopus subject areas

  • Mathematics(all)

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