Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds

In this paper, we shall discuss singular solutions of semilinear elliptic equations with general supercritical growth on spherically symmetric Riemannian manifolds. More precisely, we shall prove the existence, uniqueness and asymptotic behavior of the singular radial solution, and also show that re...

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Veröffentlicht in:Nonlinear differential equations and applications 2024-05, Vol.31 (3), Article 39
1. Verfasser: Hasegawa, Shoichi
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we shall discuss singular solutions of semilinear elliptic equations with general supercritical growth on spherically symmetric Riemannian manifolds. More precisely, we shall prove the existence, uniqueness and asymptotic behavior of the singular radial solution, and also show that regular radial solutions converges to the singular solution. In particular, we shall provide these properties on spherically symmetric Riemannian manifolds including the hyperbolic space as well as the sphere.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-024-00926-7