Nonlinear high-order equations in divergence form , data , Dirichlet problem , W-solution , nonexistence of W-solutions, Open Access Library" />

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On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L1 -Data

Keywords: data , Dirichlet problem , W-solution ,Nonlinear high-order equations in divergence form &searchField=keyword"> nonexistence of W-solutions"">Nonlinear high-order equations in divergence form , data , Dirichlet problem , W-solution , nonexistence of W-solutions

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Abstract:

En un conjunto abierto y acotado de consideramos el problema de Dirichlet para ecuaciones no lineales de orden en la forma divergente con lados L1 -right-hand. Se supone que , y los coeficientes de las ecuaciones admiten el radio de crecimiento con respecto a las derivadas de orden m de la función desconocida. Establecemos que bajo la condición para algn data el problema de Dirichlet correspondiente no tiene W-soluciones. In a bounded open set of we consider the Dirichlet problem for nonlinear order equations in divergence form with right-hand sides. It is supposed that , and the coefficients of the equations admit the growth of rate with respect to the derivatives of order m of unknown function. We establish that under the condition for some L1 -data the corresponding Dirichlet problem does not have W-solutions.

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