Epiperimetric inequalities in the obstacle problem for the fractional Laplacian

Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Cites Work

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An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients
Regularity of the free boundary for the obstacle problem for the fractional Laplacian with drift
Extension of $C^{m, \omega}$-smooth functions by linear operators
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The thin obstacle problem: a survey
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Global regularity for the free boundary in the obstacle problem for the fractional Laplacian
Obstacle Problems Involving the Fractional Laplacian
An epiperimetric inequality for the lower dimensional obstacle problem
Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications
An Extension Problem Related to the Fractional Laplacian
An epiperimetric inequality for the thin obstacle problem
Generic regularity of free boundaries for the thin obstacle problem
Integro-differential elliptic equations (to appear)
Optimal regularity of the thin obstacle problem by an epiperimetric inequality

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