2006 International Conference in Honor of Jacqueline Fleckinger. Electronic Journal of Differential Equations, Conference 16 (2007), pp. 81-93. Title: Some remarks on infinite-dimensional nonlinear elliptic problems Authors: Philippe Clement (Leiden Univ., The Netherlands) Marta Garcia-Huidobro (Pontificia Univ. Catolica, Santiago, Chile) Raul F. Manasevich (Univ. de Chile, Santiago, Chile) Abstract: We discuss some nonlinear problems associated with an infinite dimensional operator $L$ defined on a real separable Hilbert space $H$. As the operator $L$ we choose the Ornstein-Uhlenbeck operator induced by a centered Gaussian measure $\mu$ with covariance operator $Q$. Published May 15, 2007. Math Subject Classifications: 35J65, 35J25. Key Words: Hilbert space; Ornstein-Uhlenbeck operator; nonlinear elliptic problems.