Variational Inequalities for the Fractional Laplacian
Copyright policy )Variational Inequalities for the Fractional Laplacian
In this paper we study the obstacle problems for the fractional Lapalcian of order $s\in(0,1)$ in a bounded domain $��\subset\mathbb R^n$, under mild assumptions on the data.
19 pages
- St Petersburg University Russian Federation
- University of Udine Italy
- Indian Institute of Technology Delhi India
Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators, 35R11, 49J40, Variational inequalities, Fractional partial differential equations, Mathematics - Analysis of PDEs, free boundary problems, FOS: Mathematics, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, fractional Laplacian, Fractional Laplacian; Free boundary problems; Variational inequalities; Analysis, variational inequalities, Analysis of PDEs (math.AP)
Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators, 35R11, 49J40, Variational inequalities, Fractional partial differential equations, Mathematics - Analysis of PDEs, free boundary problems, FOS: Mathematics, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, fractional Laplacian, Fractional Laplacian; Free boundary problems; Variational inequalities; Analysis, variational inequalities, Analysis of PDEs (math.AP)
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