Variational inequalities for the spectral fractional Laplacian

Authors: Musina R.¹, Nazarov A.I.²^,3
Affiliations:
1. Dipartimento di Matematica ed Informatica
2. St. Petersburg Department of Steklov Institute
3. St. Petersburg State University
Issue: Vol 57, No 3 (2017)
Pages: 373-386
Section: Article
URL: https://journals.rcsi.science/0965-5425/article/view/178975
DOI: https://doi.org/10.1134/S0965542517030113
ID: 178975

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In this paper we study obstacle problems for the Navier (spectral) fractional Laplacian (−Δ_Ω)^s of order s ∈ (0,1) in a bounded domain Ω ⊂ Rⁿ.

Variational inequalities, spectral fractional Laplacian, free boundary problems

Dipartimento di Matematica ed Informatica

Author for correspondence.
Email: roberta.musina@uniud.it
Italy, via delle Scienze, Udine, 206–33100

St. Petersburg Department of Steklov Institute; St. Petersburg State University

Author for correspondence.
Email: al.il.nazarov@gmail.com
Russian Federation, St. Petersburg, 190005; St. Petersburg, 190005

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