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Sign changing solutions of the Brezis-Nirenberg problem in the\n Hyperbolic space

2012/09/25 by Debdip Ganguly, K. Sandeep, Ganguly, Debdip +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1209.5674

openalex publication_date 2012/09/25 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this article we will study the existence and nonexistence of sign changing\nsolutions for the Brezis-Nirenberg type problem in the Hyperbolic space. We\nwill also establish sharp asymptotic estimates for the solutions and the\ncompactness properties of solutions.\n

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