Original scientific paper

Triple solutions for the one-dimensional p-Laplacian

Haishen Lu
Donal O'Regan
Ravi P. Agarwal

Abstract

We give conditions on f involving pairs of lower and upper solutions which lead to the existence of at least three solutions to the two point boundary value problem

(|u'|p -2 u') = q(t) f(t,u,u') on (0,1), u(0) = u(1) = 0.

Keywords

Lower and upper solutions; three solutions; p-Laplace equation; Nagumo condition

Hrčak ID:

1321

URI

https://hrcak.srce.hr/1321

Publication date:

1.12.2003.

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