## Messaoud Boulbrachene, $L^{\infty}$ error estimate for a class of semilinear elliptic systems of quasi-variational inequalities

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DOI: 10.23952/jnva.5.2021.3.07

Volume 5, Issue 3, 1 June 2021, Pages 429-440

Abstract. This paper deals with the standard finite element approximation of a class of semilinear elliptic systems of quasi-variational inequalities (QVIs) arising in stochastic control theory. Under a realistic assumption on the nonlinearity and by means of the concept of subsolutions for linear systems of QVIs, we derive sharp $L^{\infty}$ error estimate of the approximation.

Messaoud Boulbrachene, $L^{\infty}$ error estimate for a class of semilinear elliptic systems of quasi-variational inequalities, J. Nonlinear Var. Anal. 5 (2021), 429-440.