Geodesic
A Multivalued Nonlinear System with the Vector p-Laplacian on the Semi-Infinity Interval
Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 217-228

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DOI

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.
DOI : 10.4153/CMB-2008-023-8
Mots-clés : 34A60, semi-infinity interval, vector, p-Laplacian, multivalued nonlinear, fixed point index, Hartman condition, completely continuous map 
Filippakis, Michael E.; Papageorgiou, Nikolaos S. A Multivalued Nonlinear System with the Vector p-Laplacian on the Semi-Infinity Interval. Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 217-228. doi: 10.4153/CMB-2008-023-8
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     title = {A {Multivalued} {Nonlinear} {System} with the {Vector} {p-Laplacian} on the {Semi-Infinity} {Interval}},
     journal = {Canadian mathematical bulletin},
     pages = {217--228},
     year = {2008},
     volume = {51},
     number = {2},
     doi = {10.4153/CMB-2008-023-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-023-8/}
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