On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data
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Alexander A. Kovalevsky
alexkvl@iamm.ac.donetsk.ua
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Francesco Nicolosi
fnicolosi@dmi.unict.it
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DOI:
https://doi.org/10.4067/S0719-06462012000200009Abstract
In a bounded open set of â„n we consider the Dirichlet problem for nonlinear 2m-order equations in divergence form with L1 -right-hand sides. It is supposed that 2 ≤ m < n, and the coefficients of the equations admit the growth of rate p − 1 > 0 with respect to the derivatives of order m of unknown function. We establish that under the condition p ≤ 2 − m/n for some L1 -data the corresponding Dirichlet problem does not have W-solutions.
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Published
2012-06-01
How to Cite
[1]
A. A. Kovalevsky and F. Nicolosi, “On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data”, CUBO, vol. 14, no. 2, pp. 175–182, Jun. 2012.
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