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Cubo (Temuco) 2012
On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L1 -DataDOI: 10.4067/S0719-06462012000200009 Keywords: nonlinear high-order equations in divergence form, data, dirichlet problem, w-solution, nonexistence of w-solutions. Abstract: 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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