Existence of positive solutions for higher-order generalized p-Laplacian BVPs

Authors
Lian, WC Wong, FH
Citation
Wc. Lian et Fh. Wong, Existence of positive solutions for higher-order generalized p-Laplacian BVPs, APPL MATH L, 13(6), 2000, pp. 35-43
Citations number
16
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
13
Issue
6
Year of publication
2000
Pages
35 - 43
Database
ISI
SICI code
0893-9659(200008)13:6<35:EOPSFH>2.0.ZU;2-J
Abstract
In this paper, we provide suitable conditions on the function f(t, u(1),... ,u(n-1)) such that the higher-order generalized p-Laplacian boundary value problem [GRAPHICS] has at least one positive solution. Moreover, we shall apply this result to establish several existence theorem s which guarantee the multiple positive solutions. (C) 2000 Elsevier Scienc e Ltd. All rights reserved.