Open AccessA Necessary and Sufficient Condition for the Existence of Positive Solutions to the Singular p-Laplacian
Author(s) -
Ravi P. Agarwal,
Haishen Lü,
Donal O’Regan
Publication year - 2003
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1168
Subject(s) - p laplacian , mathematics , laplace operator , pure mathematics , medicine , mathematical analysis , boundary value problem
This paper studies the boundary value problem (φp(u ′))′ + q(t)(f(u) + g(u)) = 0 (0 < t < 1) u(0) = u(1) = 0 ) in the case p > 1. A necessary and sufficient condition for the existence of C[0, 1] positive solutions and a sufficient condition for the existence of C[0, 1] positive solutions are presented.
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