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On positive solutions to equations involving the one-dimensional p-Laplacian
Journal article   Open access  Peer reviewed

On positive solutions to equations involving the one-dimensional p-Laplacian

Ruyun Ma, Yanqiong Lu and Ahmed Omer Mohammed Abubaker
Boundary value problems, Vol.2013(1), pp.125-125
15/05/2013
DOI: https://doi.org/10.1186/1687-2770-2013-125

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider equations involving the one-dimensional p-Laplacian (vertical bar u'(t)vertical bar(p-2)u'(t)' + lambda f(u(t)) = 0, t is an element of (0, 1) with the Dirichlet boundary conditions. By using time map methods, we show how changes of the sign of f(.) lead to multiple positive solutions of the problem for sufficiently large lambda.
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https://doi.org/10.1186/1687-2770-2013-125View
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