On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to <em>L</em><sup>1</sup>

On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to <em>L</em><sup>1</sup>

Year:    2013

Author:    A. A. Kovalevsky, F. Nicolosi

Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 1 : pp. 39–47

Abstract

We establish conditions of the nonexistence of weak solutions of the Dirichlet problem for nonlinear elliptic equations of arbitrary even order with some righthand sides from L^m where m > 1. The conditions include the requirement of a certain closeness of the parameter m to 1.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v26.n1.4

Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 1 : pp. 39–47

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Nonlinear elliptic equations in divergence form

Author Details

A. A. Kovalevsky

F. Nicolosi