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This article is cited in 6 scientific papers (total in 6 papers)
Variational inequalities for the spectral fractional Laplacian
R. Musinaa, A. I. Nazarovbc a Dipartimento di Matematica ed Informatica, Università di Udine, Udine, Italy
b St. Petersburg Department of Steklov Institute, St. Petersburg, Russia
c St. Petersburg State University, St. Petersburg, Russia
Abstract:
In this paper we study obstacle problems for the Navier (spectral) fractional Laplacian $(-\Delta_{\Omega})^s$ of order $s \in (0,1)$ in a bounded domain $\Omega\subset \mathrm{R}^n$.
Key words:
variational inequalities, spectral fractional Laplacian, free boundary problems.
Received: 26.07.2016
Citation:
R. Musina, A. I. Nazarov, “Variational inequalities for the spectral fractional Laplacian”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 381; Comput. Math. Math. Phys., 57:3 (2017), 373–386
Linking options:
https://www.mathnet.ru/eng/zvmmf10530 https://www.mathnet.ru/eng/zvmmf/v57/i3/p381
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