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arXiv:1212.0516 [math.AP]AbstractReferencesReviewsResources

Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace

A. Farina, N. Soave

Published 2012-12-03, updated 2013-09-16Version 2

We derive some 1-D symmetry and uniqueness or non-existence results for nonnegative solutions of some elliptic system in the halfspace $\R^N_+$ in low dimension. Our method is based upon a combination of Fourier series and Liouville theorems.

Journal: Journal of Mathematical Analysis and Applications, 403 (2013), 215--233
Categories: math.AP
Subjects: 35B06, 35J25
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