We study monotonicity and 1-dimensional symmetry for positive solutions with algebraic growth of the following elliptic system: (Foemula presented) for every dimension N ≥ 2. In particular, we prove a Gibbons-type conjecture proposed by Berestycki et al. © 2014 Springer-Verlag Berlin Heidelberg.

Monotonicity and 1-Dimensional Symmetry for Solutions of an Elliptic System Arising in Bose-Einstein Condensation

FARINA, ALBERTO;SOAVE, NICOLA
2014

Abstract

We study monotonicity and 1-dimensional symmetry for positive solutions with algebraic growth of the following elliptic system: (Foemula presented) for every dimension N ≥ 2. In particular, we prove a Gibbons-type conjecture proposed by Berestycki et al. © 2014 Springer-Verlag Berlin Heidelberg.
Analysis; Mechanical Engineering; Mathematics (miscellaneous)
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1010204
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