Existence of high energy positive solutions for a class of elliptic equations in the hyperbolic space

2022/06/08 by Debdip Ganguly, Diksha Gupta, Ganguly, Debdip +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2206.03822

openalex publication_date 2022/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the existence of positive solutions for the following class of scalar field problem on the hyperbolic space -Δ_ℍ^N u - λu = a(x) |u|^p-1 u in \mathbbB^N, u ∈ H¹(\mathbbB^N), where \mathbbB^N denotes the hyperbolic space, 1

Cited by

• Elliptic Problems Involving Mixed Local-Nonlocal Operator in the Hyperbolic Space

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