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arXiv · 1304.3216

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

K Sandeep·Debdip Ganguly
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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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K Sandeep, Debdip Ganguly. 2013-04-11. Nondegeneracy of Positive solutions of a Semilinear elliptic problem in the Hyperbolic space. https://arxiv.org/abs/1304.3216

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