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Variational Inequalities for the Fractional Laplacian

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica ed Informatica, Università di Udine, via delle Scienze, 206 – 33100, Udine, Italy

    Roberta Musina

  2. St.Petersburg Department of Steklov Institute, Fontanka 27, St.Petersburg, 191023, Russia

    Alexander I. Nazarov

  3. St.Petersburg State University, Universitetskii pr. 28, St. Petersburg, 198504, Russia

    Alexander I. Nazarov

  4. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    Konijeti Sreenadh

Authors
  1. Roberta Musina
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  2. Alexander I. Nazarov
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  3. Konijeti Sreenadh
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Correspondence to Roberta Musina.

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Musina, R., Nazarov, A.I. & Sreenadh, K. Variational Inequalities for the Fractional Laplacian. Potential Anal 46, 485–498 (2017). https://doi.org/10.1007/s11118-016-9591-9

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  • DOI: https://doi.org/10.1007/s11118-016-9591-9

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