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Radial solutions of semilinear elliptic equations with prescribed asymptotic behavior
Author(s) -
Ibrahim Hassan
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900003
Subject(s) - mathematics , elliptic curve , mathematical analysis , root (linguistics) , philosophy , linguistics
We consider semilinear elliptic equations of the form Δ u + g ( u ) = 0 on R N . Given a suitable positive root z of g , we discuss the existence of positive radial solutions u with u ( ∞ ) = z .