dc.creator | Kovalevsky, Alexander A. | |
dc.creator | Nicolosi, Francesco | |
dc.date | 2012-06-01 | |
dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1347 | |
dc.identifier | 10.4067/S0719-06462012000200009 | |
dc.description | In a bounded open set of ℝn 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. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1347/1202 | |
dc.source | CUBO, A Mathematical Journal; Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal; 175–182 | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 14 Núm. 2 (2012): CUBO, A Mathematical Journal; 175–182 | es-ES |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.subject | Nonlinear high-order equations in divergence form | en-US |
dc.subject | L1 -data | en-US |
dc.subject | Dirichlet problem | en-US |
dc.subject | W-solution | en-US |
dc.subject | nonexistence of W-solutions | en-US |
dc.title | On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |