Existence of solutions for an NSE with discontinuous nonlinearity

  • Gelson C. G. dos Santos
  • Giovany M. Figueiredo
Article
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Abstract

In the present paper, we establish the existence of positive solution for a nonlinear Schrödinger equation (shortly NSE) whose nonlinearity is discontinuous. We consider two class of potentials that were studied for the first time in Alves (J Elliptic Parabol Equ 1:231–241, 2015).

Keywords

Positive solution nonlinear Schrödinger equation discontinuous nonlinearity 

Mathematics Subject Classification

35J20 35J60 
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Copyright information

© Springer International Publishing 2017

Authors and Affiliations

  • Gelson C. G. dos Santos
    • 1
  • Giovany M. Figueiredo
    • 1
  1. 1.Faculdade de MatemáticaUniversidade Federal do ParáBelémBrazil

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