R. Musina, A. I. Nazarov, “Variational inequalities for the spectral fractional Laplacian”, Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 3,Page 381

This article is cited in 6 papers

Variational inequalities for the spectral fractional Laplacian

R. Musina^a, A. I. Nazarov^bc

^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.

UDC: 519.626

Received: 26.07.2016

Language: English

DOI: 10.7868/S0044466917030115