\documentclass{standalone}

\usepackage{tikz}
\begin{document}

\begin{tikzpicture}
\fill [blue!15, even odd rule] (0,0) ellipse (5 and 3)  (1,1) circle (.5);
\draw[blue, very thick]  (0,0) ellipse (5 and 3);

\fill (1,1) circle (.05) node [right] {$y$};
\draw[blue, very thick] (1,1) circle (.5);
\node at (1,1.8) {$S_\epsilon$};
\node at (2,2.5) {\large$\Sigma$};
\draw [thick, ->] (.65,.65) -- (.3,.3) node [below] {$\nu$};
\draw [thick, ->] (5,0) -- (4.65,0) node [below] {$\nu$};
\node at (-2,1) {\huge$\Omega_\epsilon$};

\end{tikzpicture}
\end{document}
