Archivio Istituzionale della RicercaIn this article, we will study the nondegeneracy properties of positive finite energy solutions of the equation -Δu - λu = |u|p-1u 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.
Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space / Ganguly, Debdip; Kunnath, Sandeep. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 17:1(2015), p. 1450019. [10.1142/S0219199714500199]
Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space
GANGULY, DEBDIP;
2015
Abstract
In this article, we will study the nondegeneracy properties of positive finite energy solutions of the equation -Δu - λu = |u|p-1u 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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https://hdl.handle.net/11583/2603559
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