Supercritical elliptic problems involving a Cordes like operator

In this work we obtain positive bounded solutions of various perturbations \begin{document}$ \begin{equation} \left\{ \begin{array}{lcl} \hfill -\Delta u - \gamma \sum_{i, j = 1}^N \frac{x_i x_j}{|x|^2} u_{x_i x_j} & u^p \qquad \mbox{ in } B_1, \\ 0 \hfill\qquad\ on \partial \end{array}\right. \end{equation} \ (1) $\end{document} where $ B_1 is the unit ball {{\mathbb{R}}}^N N \ge 3 $, \gamma>0 and 1<p<p_{N, \gamma} \begin{equation*} p_{N, \gamma}: \begin{array}{lc} \frac{N+2+3 \gamma}{N-2-\gamma} if \gamma<N-2, \infty N-2. \end{equation*} Note for allows supercritical range p $.