Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 52, No. 4, pp. 471-474 (1995)

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Positive Solutions of Elliptic Equations in Two-Dimensional Exterior Domains

Adrian Constantin

Courant Institute of Mathematical Sciences,
251 Mercer Street, 10012 New York - USA

Abstract: We consider the semilinear elliptic equation $\Delta u+f(x,u)=0$ in a two-dimensional exterior domain. Sufficient conditions for the existence of a positive solution are given.

Keywords: Elliptic equation; exterior domain.

Classification (MSC2000): 35B05

Full text of the article:

Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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