<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Karima Sbihi</style></author><author><style face="normal" font="default" size="100%">Petra Wittbold</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ENTROPY SOLUTION OF A QUASILINEAR ELLIPTIC PROBLEM WITH NONLINEAR BOUNDARY CONDITION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Entropy Solution of a Quasilinear Elliptic Problem 323 In a forthcoming paper, the existence and u</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">31C15</style></keyword><keyword><style  face="normal" font="default" size="100%">35B20</style></keyword><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">47H06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">325</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we consider the equation u − div a(u, Du) = f on a bounded domain with nonlinear boundary conditions of the form −a(u, Du) · η ∈ β(x, u). We introduce a notion of entropy solution for this problem and prove existence and uniqueness of this solution for general L&lt;sup&gt;1&lt;/sup&gt; -data.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">299</style></section></record></records></xml>