期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 199, 期 2, 页码 452-467出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-1236(02)00060-5
关键词
superlinearity; sublinearity; indefinite nonlinearity; concave-convex nonlinearity; semilinear elliptic problem
类别
In this paper the usual notions of superlinearity and sublinearity for semilinear problems like -Deltau =f (x, u) are given a local form and extended to indefinite nonlinearities. Here f (x, s) is allowed to change sign or to vanish for s near zero as well as for s near infinity. Some of the well-known results of Ambrosetti-Brezis-Cerami are partially extended to this context. (C) 2003 Elsevier Science (USA). All rights reserved.
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