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\qquad\ \mbox{ on } \partial B_1, \end{array}\right. \end{equation} \ \ \ \ \ \ \ \ \ \ \ (1) $

中文翻译：

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涉及像Cordes算子的超临界椭圆问题

在这项工作中，我们获得了各种摄动的正有界解

$ \ 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 \ qquad \ \ mbox {on} \ partial B_1，\ end {array} \正确的。\ end {equation} \ \ \ \ \ \ \ \ \ \（1）$