Supercritical elliptic problems involving a Cordes like operator

In this work we obtain positive bounded solutions of various perturbations of \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, \ \hfill u &=& 0 \hfill \mbox{ on } \partial B_1, \end{array}\right. \end{equation} where $B_1$ is the unit ball in ${\text{IR}}^N$ where $N\ge 3$, $\gamma >0$ and $1<p<p_{N,\gamma }$ where \begin{equation*} p_{N,\gamma}:=\left{ \begin{array}{lc} \frac{N+2+3 \gamma}{N-2-\gamma} & \qquad \mbox{ if } \gamma<N-2, \ \infty & \qquad \mbox{ if } \gamma \ge N-2. \end{array}\right. \end{equation*} Note for $\gamma >0$ this allows for supercritical range of $p$.