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.
Concentration on circles for nonlinear schrödinger-poisson systems with unbounded potentials vanishing at infinity / Bonheure, D.; Di Cosmo, J.; Mercuri, C.. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 14:2(2012), pp. 1-31. [10.1142/S0219199712500095]
Concentration on circles for nonlinear schrödinger-poisson systems with unbounded potentials vanishing at infinity
Mercuri C.
2012
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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