Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds-Reference-Cited by-同舟云学术

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

Published:2024-03-14 Issue:3 Volume:31 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Hasegawa Shoichi

Abstract

AbstractIn 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.

Funder

Waseda University

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00030-024-00926-7.pdf

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