期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 352, 期 1, 页码 234-245出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.06.018
关键词
p-Laplacian; Singular boundary value problem; Comparison principle
For a given bounded domain Omega in R-n with C-1,C-pi boundary for some 0 < pi < 1, and a possibly singular nonlinearity f on Omega x (0, infinity), we give sufficient conditions on f so that the p-Laplace equation -Delta(p)u = f(x, u) admits a solution u is an element of W-0(1,p) (Omega). On the basis of a comparison principle we will give a sufficient condition under which such a problem admits a unique solution. (C) 2008 Elsevier Inc. All rights reserved.
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