Existence and nonexistence of a positive solution of the Lane–Emden equation having a boundary singularity: the subcritical case

Existence and nonexistence of a positive solution of the Lane–Emden equation having a boundary singularity: the subcritical case

In a nonsmooth bounded domain, we study the existence and nonexistence of a positive solution of the Lane–Emden equation which has a singularity at a given boundary point and behaves like the Martin kernel with pole at that point.

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Veröffentlicht in:Monatshefte für Mathematik 2018-08, Vol.186 (4), p.635-652
1. Verfasser: Hirata, Kentaro
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:In a nonsmooth bounded domain, we study the existence and nonexistence of a positive solution of the Lane–Emden equation which has a singularity at a given boundary point and behaves like the Martin kernel with pole at that point.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-017-1103-5