Existence of High Energy-Positive Solutions for a Class of Elliptic Equations in the Hyperbolic Space

arxiv（2023）

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摘要

We study the existence of positive solutions for the following class of scalar field problem on the hyperbolic space: -Δ _𝔹^N u - λ u = a(x) |u|^p-1 u in 𝔹^N, u ∈ H^1(𝔹^N), where 𝔹^N denotes the hyperbolic space, 1更多

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关键词

Hyperbolic space,Hyperbolic bubbles,Palais–Smale decomposition,Semilinear elliptic problem

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