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- W1968707939 abstract "Abstract (0.1) begin{equation}label{eq:0.1} left{ begin{array}{ll} displaystyle -Delta_{mathbb{H}^{N}}u=|v|^{p-1}v x, displaystyle -Delta_{mathbb{H}^{N}}v=|u|^{q-1}u, end{array} right. end{equation} in the whole Hyperbolic space ℍ N . We establish decay estimates and symmetry properties of positive solutions. Unlike the corresponding problem in Euclidean space ℝ N , we prove that there is a positive solution pair ( u , v ) ∈ H 1 (ℍ N ) × H 1 (ℍ N ) of problem (0.1), moreover a ground state solution is obtained. Furthermore, we also prove that the above problem has a radial positive solution." @default.
- W1968707939 created "2016-06-24" @default.
- W1968707939 creator A5001919448 @default.
- W1968707939 date "2014-12-18" @default.
- W1968707939 modified "2023-09-26" @default.
- W1968707939 title "SYMMETRY AND EXISTENCE OF SOLUTIONS OF SEMI-LINEAR ELLIPTIC SYSTEMS IN HYPERBOLIC SPACE" @default.
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- W1968707939 doi "https://doi.org/10.1017/s0017089514000457" @default.
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