Some remarks on infinite-dimensional nonlinear elliptic problems

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 $Q$.

Keywords

• Hilbert space
• Ornstein-Uhlenbeck operator
• nonlinear elliptic problems.