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Potential Analysis

, Volume 46, Issue 3, pp 485–498 | Cite as

Variational Inequalities for the Fractional Laplacian

  • Roberta Musina
  • Alexander I. Nazarov
  • Konijeti Sreenadh
Article
  • 215 Downloads

Abstract

In this paper we study the obstacle problems for the fractional Lapalcian of order s ∈ (0, 1) in a bounded domain \({\Omega }\subset \mathbb {R}^{n}\), under mild assumptions on the data.

Keywords

Variational inequalities Fractional Laplacian Free boundary problems 

Mathematics Subject Classification (2010)

35J86 49J40 34A08 35R35 

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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Dipartimento di Matematica ed InformaticaUniversità di UdineUdineItaly
  2. 2.St.Petersburg Department of Steklov InstituteSt.PetersburgRussia
  3. 3.St.Petersburg State UniversitySt. PetersburgRussia
  4. 4.Department of MathematicsIndian Institute of Technology DelhiNew DelhiIndia

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