Add to ORKGTo appear in Pure and Applied Mathematics QuarterlyWe compare various notions of weak subsolutions to degenerate complex Monge-Ampère flows, showing that they all coincide. This allows us to show that the viscosity solution coincides with the envelope of pluripotential subsolutions. Dedicated to Duong Hong Phong on the occasion of his 65th birthday
In this paper we compare various notions of solutions of Monge-Ampère equations with discontinuous f...
We derive a strong maximum principle for upper semicontinuous viscosity subsolutions of fully nonlin...
We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equ...
To appear in Pure and Applied Mathematics QuarterlyWe compare various notions of weak subsolutions t...
International audienceThe authors apply the method of viscosity solutions to the parabolic version o...
International audienceWe develop an alternative approach to Degenerate complex Monge-Ampère equation...
We make a systematic study of (quasi-)plurisubharmonic envelopes on compact K\"ahler manifolds, as w...
International audienceWe develop the first steps of a parabolic pluripotential theory in bounded str...
Using and extending an approximation process due to Berman, we show that the quasi-psh envelope of a...
International audienceWe compare various notions of weak subsolutions to degenerate complex Monge-Am...
Studying the (long-term) behavior of the Kähler-Ricci flow on mildly singular varieties, one is natu...
We compare various notions of solutions of Monge-Ampère equations with discontinuous functions on th...
International audienceThis is the content of the lectures given by the author at the winter school K...
International audienceViscosity solution is a notion of weak solution for a class of partial differe...
Abstract. We discuss and compare various notions of weak solution for the p-Laplace equation −div(|∇...
In this paper we compare various notions of solutions of Monge-Ampère equations with discontinuous f...
We derive a strong maximum principle for upper semicontinuous viscosity subsolutions of fully nonlin...
We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equ...
To appear in Pure and Applied Mathematics QuarterlyWe compare various notions of weak subsolutions t...
International audienceThe authors apply the method of viscosity solutions to the parabolic version o...
International audienceWe develop an alternative approach to Degenerate complex Monge-Ampère equation...
We make a systematic study of (quasi-)plurisubharmonic envelopes on compact K\"ahler manifolds, as w...
International audienceWe develop the first steps of a parabolic pluripotential theory in bounded str...
Using and extending an approximation process due to Berman, we show that the quasi-psh envelope of a...
International audienceWe compare various notions of weak subsolutions to degenerate complex Monge-Am...
Studying the (long-term) behavior of the Kähler-Ricci flow on mildly singular varieties, one is natu...
We compare various notions of solutions of Monge-Ampère equations with discontinuous functions on th...
International audienceThis is the content of the lectures given by the author at the winter school K...
International audienceViscosity solution is a notion of weak solution for a class of partial differe...
Abstract. We discuss and compare various notions of weak solution for the p-Laplace equation −div(|∇...
In this paper we compare various notions of solutions of Monge-Ampère equations with discontinuous f...
We derive a strong maximum principle for upper semicontinuous viscosity subsolutions of fully nonlin...
We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equ...