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Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space
Debdip Ganguly, Kunnath Sandeep
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Source: Crossref
Published: Dec 16, 2014
DOI: 10.1142/s0219199714500199
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In this article, we will study the nondegeneracy properties of positive finite energy solutions of the equation -Δ 𝔹 u - λu = |u| p-1 u in the 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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