Calculus of Variations and Geometric Measure Theory
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A. Farina - B. Sciunzi - N. Soave

Monotonicity and rigidity of solutions to some elliptic systems with uniform limits

created by soave on 26 Jul 2017


Submitted Paper

Inserted: 26 jul 2017

Year: 2017
Links: Link arXiv


In this paper we prove the validity of Gibbons' conjecture for a coupled competing Gross-Pitaevskii system. We also provide sharp a priori bounds, regularity results and additional Liouville-type theorems.

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