A minimum principle for plurisubharmonic functions Ahmed Zeriahi 31C1031C1532F0532F9932U0532U99minimum principleplurisubharmonic functionslogarithmic potentialslogarithmic capacityHausdorff contents The main goal of this work is to give new and precise generalizations to various classes of plurisubharmonic functions of the classical minimum modulus principle for holomorphic functions of one complex variable, in the spirit of the famous lemma of Cartan-Boutroux. As an application we obtain precise estimates on the size of "plurisubharmonic lemniscates" in terms of appropriate Hausdorff contents. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.3209 10.1512/iumj.2007.56.3209 en Indiana Univ. Math. J. 56 (2007) 2671 - 2696 state-of-the-art mathematics http://iumj.org/access/