Open AccessBlow-Up in Exterior Domains: Existence and Star-Shapedness
Author(s) -
Elisa Francini,
Antonio Greco
Publication year - 1998
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/831
Subject(s) - star (game theory) , mathematics , pure mathematics , mathematical analysis
For some nonlinear elliptic equations in divergence form, we consider the solutions, defined in the exterior of acontractible bounded domain g, which become infinite at the boundary. We prove the existence of such solutions and study the shape of their level sets when Q is star-shaped.
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