TY - JOUR
T1 - On Conditions of the Nonexistence of Solutions of Nonlinear Equations with Data from Classes Close to <em>L</em><sup>1</sup>
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 - <p>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 &gt; 1. The conditions include the requirement of a certain closeness of the parameter m to 1.</p>