Geodesic
A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 95-106.

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In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
Classification : 34A60, 34B15
Keywords: Dirichlet problem; upper-Carathéodory differential inclusions; bounding functions 
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     title = {A bound sets technique for {Dirichlet} problem with an {upper-Carath\'eodory} right-hand side},
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Pavlačková, Martina. A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 95-106. http://geodesic.mathdoc.fr/item/AUPO_2010__49_2_a7/