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This paper is interested in the problem of optimal stopping in a mean field game context. The notion of mixed solution is… Expand We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly degenerate, integro… Expand The repulsion strength at the origin for repulsive/attractive potentials determines the regularity of local minimizers of the… Expand We consider the distributed optimal control of the obstacle problem with control constraints. Since Mignot proved in 1976 the… Expand Abstract We study a Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal… Expand This paper concerns optimal investment problem of a CRRA investor who faces proportional transaction costs and finite time… Expand Given a function ϕ and s ∈ (0, 1), we will study the solutions of the following obstacle problem: • u ≥ ϕ in R n , • (−� ) s u… Expand We show that a posteriori estimators for the obstacle problem are easily obtained from the theory for linear equations. The… Expand We study reflected solutions of one-dimensional backward stochastic differential equations. The “reflection” keeps the solution… Expand We consider a parabolic double obstacle problem which is a version of the Allen-Cahn equation ut = Δu — ϵ-2ψ'(u) in Ω x (0… Expand