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versión On-line ISSN 0719-0646


KOVALEVSKY, Alexander A  y  NICOLOSI, Francesco. On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L1 -Data. Cubo [online]. 2012, vol.14, n.2, pp.175-182. ISSN 0719-0646.

In a bounded open set of Descripción: http:/fbpe/img/cubo/v14n2/art09-01.jpgwe consider the Dirichlet problem for nonlinear Descripción: http:/fbpe/img/cubo/v14n2/art09-02.jpgorder equations in divergence form with Descripción: http:/fbpe/img/cubo/v14n2/art09-07.jpgright-hand sides. It is supposed that Descripción: http:/fbpe/img/cubo/v14n2/art09-03.jpg, and the coefficients of the equations admit the growth of rate Descripción: http:/fbpe/img/cubo/v14n2/art09-04.jpgwith respect to the derivatives of order m of unknown function. We establish that under the condition Descripción: http:/fbpe/img/cubo/v14n2/art09-05.jpgfor some L1 -data the corresponding Dirichlet problem does not have W-solutions.

Palabras clave : Nonlinear high-order equations in divergence form; Descripción: http:/fbpe/img/cubo/v14n2/art09-07.jpgdata; Dirichlet problem; W-solution; nonexistence of W-solutions.

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