Journal
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volume 17, Issue 1, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219199714500199
Keywords
Nondegeneracy; hyperbolic space; semilinear elliptic equations
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In this article, we will study the nondegeneracy properties of positive finite energy solutions of the equation -Delta(BN) u - lambda u = |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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