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Volume 26, Issue 1
On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to L1

A. A. Kovalevsky & F. Nicolosi

DOI: 10.4208/jpde.v26.n1.4

J. Part. Diff. Eq., 26 (2013), pp. 39-47.

Published online: 2013-03

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  • 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.

  • Keywords

Nonlinear elliptic equations in divergence form Dirichlet problem weak solution existence and nonexistence of weak solutions

  • AMS Subject Headings

35J25, 35J40, 35J60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

alexkvl@iamm.ac.donetsk.ua (A. A. Kovalevsky)

fnicolosi@dmi.unict.it (F. Nicolosi)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-26-39, author = {Kovalevsky , A. A. and Nicolosi , F.}, title = {On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to L1}, journal = {Journal of Partial Differential Equations}, year = {2013}, volume = {26}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v26.n1.4}, url = {http://global-sci.org/intro/article_detail/jpde/5152.html} }
TY - JOUR T1 - On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to L1 AU - Kovalevsky , A. A. AU - Nicolosi , F. JO - Journal of Partial Differential Equations VL - 1 SP - 39 EP - 47 PY - 2013 DA - 2013/03 SN - 26 DO - http://doi.org/10.4208/jpde.v26.n1.4 UR - https://global-sci.org/intro/article_detail/jpde/5152.html KW - Nonlinear elliptic equations in divergence form KW - Dirichlet problem KW - weak solution KW - existence and nonexistence of weak solutions AB -

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.

Kovalevsky , A. A. and Nicolosi , F.. (2013). On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to L1. Journal of Partial Differential Equations. 26 (1). 39-47. doi:10.4208/jpde.v26.n1.4
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