Existence and uniqueness of positive radial solutions for the Lane–Emden system
Nonlinear Analysis: Theory, Methods & Applications, 2004The author studies the existence and the uniqueness of positive radial solutions of the semilinear elliptic Lane-Emden-type system with homogeneous Dirichlet data \[ \begin{cases} \Delta u+v^q=0 & \text{in } B_R, \\ \Delta v+u^p=0 & \text{in } B_R, \\ u=v=0 & \text{on } \partial B_R, \end{cases} \] where \(B_R\) denotes the open ball of radius \(R\) at
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Uniqueness of positive radial solutions of in ,
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