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2017

2017

This paper is interested in the problem of optimal stopping in a mean field game context. The notion of mixed solution is… Expand

2016

2016

We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly degenerate, integro… Expand

Highly Cited

2014

Highly Cited

2014

The repulsion strength at the origin for repulsive/attractive potentials determines the regularity of local minimizers of the… Expand

2014

2014

We consider the distributed optimal control of the obstacle problem with control constraints. Since Mignot proved in 1976 the… Expand

2013

2013

Abstract We study a Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal… Expand

Highly Cited

2009

Highly Cited

2009

This paper concerns optimal investment problem of a CRRA investor who faces proportional transaction costs and finite time… Expand

Highly Cited

2007

Highly Cited

2007

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

Highly Cited

2005

Highly Cited

2005

We show that a posteriori estimators for the obstacle problem are easily obtained from the theory for linear equations. The… Expand

Highly Cited

1997

Highly Cited

1997

We study reflected solutions of one-dimensional backward stochastic differential equations. The “reflection” keeps the solution… Expand

Highly Cited

1994

Highly Cited

1994

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