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A Multivalued Nonlinear System with the Vector p-Laplacian on the Semi-Infinity Interval
Michael E. Filippakis, Nikolaos S. Papageorgiou
Journal:

Canadian Mathematical Bulletin / Volume 51 / Issue 2 / 01 June 2008

Published online by Cambridge University Press:

20 November 2018, pp. 217-228

Print publication:

01 June 2008
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We study a second order nonlinear system driven by the vector $p$-Laplacian, with a multivalued nonlinearity and defined on the positive time semi-axis ${{\mathbb{R}}_{+}}.$ Using degree theoretic techniques we solve an auxiliary mixed boundary value problem defined on the finite interval $\left[ 0,\,n \right]$ and then via a diagonalization method we produce a solution for the original infinite time horizon system.