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Singular solutions of a Lane-Emden system

Singular solutions of a Lane-Emden system

<p style='text-indent:20px;'>In this work we consider the existence of positive singular solutions <p style='text-indent:20px;'><disp-formula> <tex-math id="FE11111"> \begin{document}$ \begin{equation} \left\{ \begin{array}{lcl} \hfill -\Delta u_1 &amp; = &amp; \lambda_1 | \nabla u_2|^p \qquad \mbox{ in } \Omega, \\ \hfill -\Delta u_2 &amp; = &amp; \lambda_2 | \nabla u_1|^q \qquad \mbox{ in } …