Concentration on circles for nonlinear schrödinger-poisson systems with unbounded potentials vanishing at infinity

Bonheure, Denis;Di Cosmo, Jonathan;Mercuri, Carlo
(2012) Communications in Contemporary Mathematics — Vol. 14, n° 2 (2012)

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Authors
  • Bonheure, Denis
    Author
  • Di Cosmo, JonathanUCLouvain
    Author
  • Mercuri, Carlo
    Author
Abstract
The present paper is devoted to weighted nonlinear Schrödinger-Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the existence of solutions concentrating on a circle. © 2012 World Scientific Publishing Company.
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Bonheure, D., Di Cosmo, J., & Mercuri, C. (2012). Concentration on circles for nonlinear schrödinger-poisson systems with unbounded potentials vanishing at infinity. Communications in Contemporary Mathematics, 14(2). https://doi.org/10.1142/S0219199712500095 (Original work published 2012)