Classification of radial solutions to Hénon type equation on the hyperbolic space
Keywords
Semilinear elliptic equation, decay rate, sign-changing solutionsAbstract
We devote this paper to classifying radial solutions of a weighted semilinear elliptic equation on the hyperbolic space. More precisely, for a weighted Lane-Emden equation on the hyperbolic space, we shall study the sign and asymptotic behavior of the radial solutions. We shall also show the existence of fast-decay sign-changing solutions to the Lane-Emden equation on the hyperbolic space.References
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