Our interest in this paper evolves around rigorous mathematical formalisation of obstacle
problem for stochastic conservation laws. We formulate a stochastic entropy solution …

We consider obstacle problems for nonlinear stochastic evolution equations. More precisely,
the leading operator in our equation is a nonlinear, second order pseudomonotone operator …

The aim of this paper is to prove the existence of entropy solution, and the associated Lewy-
Stampacchia inequalities in a renormalized form, to some parabolic obstacle problems …

We prove an existence result for obstacle problems related to convection-diffusion parabolic
equations with singular coefficients in the convective term. Our operator is not coercive, the …

In this paper, we study the large deviation principle (LDP) for obstacle problems governed
by a T-monotone operator and small multiplicative stochastic reaction. Our approach relies …

The aim of this work is to study a stochastic obstacle problem governed by a T-monotone
operator, a random force and a multiplicative stochastic reaction in the frame of Sobolev …

In this thesis, our aim is to study elliptic and parabolic problems with constraints in theframe
of deterministic and stochastic se3ngs. More precisely, we are interested in theexistence of …

We study a nonlinear, pseudomonotone, stochastic diffusion-convection evolution problem
on a bounded spatial domain, in any space dimension, with homogeneous boundary …

This work aims to investigate the existence of ergodic invariant measures and its
uniqueness, associated with obstacle problems governed by a T-monotone operator defined …

We investigate the obstacle problem for a class of nonlinear and noncoercive parabolic
variational inequalities whose model is a Leray–Lions type operator having singularities in …