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Cubo (Temuco)

versión On-line ISSN 0719-0646

Resumen

OUARO, Stanislas. Weak and entropy solutions for a class of nonlinear inhomogeneous Neumann boundary value problem with variable exponent. Cubo [online]. 2012, vol.14, n.2, pp. 15-41. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462012000200002.

We study the existence and uniqueness of weak and entropy solutions for the nonlinear inhomogeneous Neumann boundary value problem involving the Descripción: http:/fbpe/img/cubo/v14n2/art02-06.jpgLaplace of the form -Descripción: http:/fbpe/img/cubo/v14n2/art02-01.jpg where Descripción: http:/fbpe/img/cubo/v14n2/art02-08.jpgis a smooth bounded open domain in Descripción: http:/fbpe/img/cubo/v14n2/art02-02.jpg. We prove the existence and uniqueness of a weak solution for data Descripción: http:/fbpe/img/cubo/v14n2/art02-03.jpg, the existence and Descripción: http:/fbpe/img/cubo/v14n2/art02-04.jpguniqueness of an entropy solution for Descripción: http:/fbpe/img/cubo/v14n2/art02-07.jpgdata f and ö independent of u and the existence of weak solutions for f dependent on u and Descripción: http:/fbpe/img/cubo/v14n2/art02-05.jpg.

Palabras clave : Generalized Lebesgue and Sobolev spaces; Weak solution; Entropy solution; Descripción: http:/fbpe/img/cubo/v14n2/art02-06.jpgLaplace operator.

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