Open AccessOn S-shaped and reversed S-shaped bifurcation curves for singular problems
Author(s) -
Eunkyung Ko,
Eun Kyoung Lee,
R. Shivaji
Publication year - 2011
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2011.1.31
Subject(s) - mathematics , bifurcation , mathematical analysis , pure mathematics , geometry , nonlinear system , physics , quantum mechanics
We analyze the positive solutions to the singular boundary value problem ( −(|u ′ | p−2 u ′ ) ′ = g(u) u ; (0, 1), u(0) = 0 = u(1), where p > 1, ∈ (0, 1), > 0 and g : [0, ∞) → R is a C 1 function. In particular, we discuss examples when g(0) > 0 and wheng(0) < 0 that lead to S-shaped and reversed S-shaped bifurcation curves, respectively.
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