On the asymptotic behaviour unbounded solutions of the elliptic equation on the model Riemannian manifolds
Автор: Kurmakaev Ruslan Fedorovich, Losev Alexander Georgievich
Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu
Рубрика: Математика
Статья в выпуске: 2 (17), 2012 года.
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In this paper we consider solutions of the some elliptic equations on the noncompact Riemannian manifolds which is the generalized spherically symmetric manifolds. By the spectral properties of such manifolds the exact estimations of the dimension of the space of unbounded solutions of the elliptic equations were obtained.
Liouville type theorem, model riemannian manifolds, неограниченные l-гармонические функции, unbounded l-harmonic functions, potential theory, spectral properties
Короткий адрес: https://sciup.org/14968711
IDR: 14968711
