Degree theory for the sum of VMO maps and maximal monotone maps

Let <img border=0 width=57 height=20 src="http:/fbpe/img/cubo/v13n2/art06-01.jpg"> be an open bounded domain, <img border=0 width=76 height=21 src="http:/fbpe/img/cubo/v13n2/art06-02.jpg">a VMO map, and T : D(T) <img border=0 width=20 height=18 src="http:/fbpe...

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Autores principales: Chen,Yuqing, O&#8217;Regan,Donal, Agarwal,Ravi P
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200006
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Sumario:Let <img border=0 width=57 height=20 src="http:/fbpe/img/cubo/v13n2/art06-01.jpg"> be an open bounded domain, <img border=0 width=76 height=21 src="http:/fbpe/img/cubo/v13n2/art06-02.jpg">a VMO map, and T : D(T) <img border=0 width=20 height=18 src="http:/fbpe/img/cubo/v13n2/art06-03.jpg"><img border=0 width=65 height=19 src="http:/fbpe/img/cubo/v13n2/art06-05.jpg">a maximal monotone map wit <img border=0 width=85 height=23 src="http:/fbpe/img/cubo/v13n2/art06-06.jpg">. We construct a degree for the sum of f + T, which can be viewed as a generalization of the degree both for VMO maps and maximal monotone maps.