Ganguly, Debdip ; Sandeep, Kunnath (2015) Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space Communications in Contemporary Mathematics, 17 (01). p. 1450019. ISSN 0219-1997
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Official URL: http://doi.org/10.1142/S0219199714500199
Related URL: http://dx.doi.org/10.1142/S0219199714500199
Abstract
In this article, we will study the nondegeneracy properties of positive finite energy solutions of the equation -ΔBu - 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| ID Code: | 121234 |
| Deposited On: | 13 Jul 2021 06:46 |
| Last Modified: | 13 Jul 2021 06:46 |
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