Some remarks on infinite-dimensional nonlinear elliptic problems.
Philippe Clément, Marta García‐Huidobro, Raul F Manasevich · DOAJ (DOAJ: Directory of Open Access Journals) · 2007
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 $Q$.