Fractional optimal maximization problem and the unstable fractional obstacle problem

2019/11/22 by Bonder, Julian Fernandez, Cheng, Zhiwei, Mikayelyan, Hayk
#35J60 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.10039

Abstract

We consider an optimal rearrangement maximization problem involving the fractional Laplace operator (-Δ)^s, 00 (-Δ)^s u=χ_\ugt;α\.

Related

• Optimal rearrangement problem and normalized obstacle problem in the fractional setting
• Optimization problems in rearrangement classes for fractional p-Laplacian equations
• The fractional unstable obstacle problem
• Optimal regularity of solutions to the obstacle problem for the\n fractional Laplacian with drift
• Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian