Variational Inequalities for the Fractional Laplacian

Variational Inequalities for the Fractional Laplacian

In this paper we study the obstacle problems for the fractional Lapalcian of order s ∈ (0, 1) in a bounded domain Ω ⊂ ℝ n , under mild assumptions on the data.

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Veröffentlicht in:Potential analysis 2017, Vol.46 (3), p.485-498
Hauptverfasser: Musina, Roberta, Nazarov, Alexander I., Sreenadh, Konijeti
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Geometry
Inequalities
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Zusammenfassung:In this paper we study the obstacle problems for the fractional Lapalcian of order s ∈ (0, 1) in a bounded domain Ω ⊂ ℝ n , under mild assumptions on the data.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-016-9591-9