On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data
En un conjunto abierto y acotado de <img border=0 width=29 height=24 id="_x0000_i1037" src="http:/fbpe/img/cubo/v14n2/art09-01.jpg"> consideramos el problema de Dirichlet para ecuaciones no lineales de orden <img border=0 width=32 height=26 id="_x0000_i1036" sr...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2012
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oai:scielo:S0719-064620120002000092018-10-08On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -DataKovalevsky,Alexander ANicolosi,Francesco Nonlinear high-order equations in divergence form <img border=0 width=29 height=29 id="_x0000_i1038" src="http:/fbpe/img/cubo/v14n2/art09-07.jpg"> data Dirichlet problem W-solution nonexistence of W-solutions En un conjunto abierto y acotado de <img border=0 width=29 height=24 id="_x0000_i1037" src="http:/fbpe/img/cubo/v14n2/art09-01.jpg"> consideramos el problema de Dirichlet para ecuaciones no lineales de orden <img border=0 width=32 height=26 id="_x0000_i1036" src="http:/fbpe/img/cubo/v14n2/art09-06.jpg"> en la forma divergente con lados L¹ -right-hand. Se supone que <img border=0 width=89 height=20 id="_x0000_i1035" src="http:/fbpe/img/cubo/v14n2/art09-03.jpg">, y los coeficientes de las ecuaciones admiten el radio de crecimiento <img border=0 width=87 height=24 id="_x0000_i1034" src="http:/fbpe/img/cubo/v14n2/art09-04.jpg"> con respecto a las derivadas de orden m de la función desconocida. Establecemos que bajo la condición <img border=0 width=126 height=28 id="_x0000_i1033" src="http:/fbpe/img/cubo/v14n2/art09-05.jpg"> para algn <img border=0 width=29 height=29 id="_x0000_i1032" src="http:/fbpe/img/cubo/v14n2/art09-07.jpg"> data el problema de Dirichlet correspondiente no tiene W-soluciones.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.14 n.2 20122012-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000200009es10.4067/S0719-06462012000200009 |
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Nonlinear high-order equations in divergence form <img border=0 width=29 height=29 id="_x0000_i1038" src="http:/fbpe/img/cubo/v14n2/art09-07.jpg"> data Dirichlet problem W-solution nonexistence of W-solutions |
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Nonlinear high-order equations in divergence form <img border=0 width=29 height=29 id="_x0000_i1038" src="http:/fbpe/img/cubo/v14n2/art09-07.jpg"> data Dirichlet problem W-solution nonexistence of W-solutions Kovalevsky,Alexander A Nicolosi,Francesco On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data |
| description |
En un conjunto abierto y acotado de <img border=0 width=29 height=24 id="_x0000_i1037" src="http:/fbpe/img/cubo/v14n2/art09-01.jpg"> consideramos el problema de Dirichlet para ecuaciones no lineales de orden <img border=0 width=32 height=26 id="_x0000_i1036" src="http:/fbpe/img/cubo/v14n2/art09-06.jpg"> en la forma divergente con lados L¹ -right-hand. Se supone que <img border=0 width=89 height=20 id="_x0000_i1035" src="http:/fbpe/img/cubo/v14n2/art09-03.jpg">, y los coeficientes de las ecuaciones admiten el radio de crecimiento <img border=0 width=87 height=24 id="_x0000_i1034" src="http:/fbpe/img/cubo/v14n2/art09-04.jpg"> con respecto a las derivadas de orden m de la función desconocida. Establecemos que bajo la condición <img border=0 width=126 height=28 id="_x0000_i1033" src="http:/fbpe/img/cubo/v14n2/art09-05.jpg"> para algn <img border=0 width=29 height=29 id="_x0000_i1032" src="http:/fbpe/img/cubo/v14n2/art09-07.jpg"> data el problema de Dirichlet correspondiente no tiene W-soluciones. |
| author |
Kovalevsky,Alexander A Nicolosi,Francesco |
| author_facet |
Kovalevsky,Alexander A Nicolosi,Francesco |
| author_sort |
Kovalevsky,Alexander A |
| title |
On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data |
| title_short |
On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data |
| title_full |
On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data |
| title_fullStr |
On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data |
| title_full_unstemmed |
On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data |
| title_sort |
on a condition for the nonexistence of w-solutions of nonlinear high-order equations with l¹ -data |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2012 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000200009 |
| work_keys_str_mv |
AT kovalevskyalexandera onaconditionforthenonexistenceofwsolutionsofnonlinearhighorderequationswithl1data AT nicolosifrancesco onaconditionforthenonexistenceofwsolutionsofnonlinearhighorderequationswithl1data |
| _version_ |
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