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
2014-01-01
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.File in questo prodotto:
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