Nondegeneracy of Positive solutions of a Semilinear elliptic problem in the Hyperbolic space

2013/04/11 by K. Sandeep, Sandeep, K, Debdip Ganguly +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1304.3216

openalex publication_date 2013/04/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this article we will study the nondegeneracy properties of positive finite energy solutions of a semilinear elliptic equation in the N-dimensional Hyperbolic space. We will show that the degeneracy occurs only in an N dimensional subspace. We will prove that the positive solutions are nondegenerate in the case of geodesic balls.

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