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Uniqueness and Nonexistence of Positive Solutions to Semipositone Problems
Author(s) -
Dancer E. Norman,
Shi Junping
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609306018984
Subject(s) - uniqueness , mathematics , mathematical economics , mathematical analysis
We consider the uniqueness of the positive solution to a semilinear elliptic equation with Dirichlet boundary condition and the nonlinearity satisfying f (0)<0 and having asymptotic sublinear growth rate. A similar idea is also applied to the nonexistence of a positive solution to a superlinear problem. 2000 Mathematics Subject Classification 35J65 (primary), 35B40 (secondary).