On the elliptic equation

Author:
Fang-Hua Lin

Journal:
Proc. Amer. Math. Soc. **95** (1985), 219-226

MSC:
Primary 35J60; Secondary 35B05

MathSciNet review:
801327

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Abstract: The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation in , where , is studied. A limiting case when is negative and has quadratic decay at infinity is also treated.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1985-0801327-3

Article copyright:
© Copyright 1985
American Mathematical Society