Pré-Publication, Document De Travail Année : 2014

Symmetry results for fractional elliptic systems and related problems

Résumé

We study elliptic gradient systems with fractional laplacian operators on the whole space $$ (- \Delta)^\mathbf s \mathbf u =\nabla H (\mathbf u) \ \ \text{in}\ \ \mathbf{R}^n,$$ where $\mathbf u:\mathbf{R}^n\to \mathbf{R}^m$, $H\in C^{2,\gamma}(\mathbf{R}^m)$ for $\gamma > \max(0,1-2\min \left \{s_i \right \})$, $\mathbf s=(s_1,\cdots,s_m)$ for $0

Dates et versions

hal-01005327 , version 1 (12-06-2014)

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Mostafa Fazly, Yannick Sire. Symmetry results for fractional elliptic systems and related problems. 2014. ⟨hal-01005327⟩
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