| Autor: |
Losev, A. G., Filatov, V. V. |
| Zdroj: |
Russian Mathematics; Mar2021, Vol. 65 Issue 3, p61-67, 7p |
| Abstrakt: |
We introduce the notion of an L-massive subset in a noncompact Riemannian manifold and study properties of such subsets. It is proved that a semilinear elliptic equation on a noncompact Riemannian manifold has a nontrivial bounded solution if and only if there exists an L-massive subset in this manifold. A similar assertion is also proved for solutions of semilinear equations with finite energy integral. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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