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<mrnumber>MR3308706</mrnumber>
<author>Ahmed BENSEDIK</author>
<author_utf8>Ahmed BENSEDIK</author_utf8>
<title>On Existence Results for an Anisotropic Elliptic Equation of Kirchhoff-Type by a Monotonicity Method</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>57</volume>
<year>2014</year>
<page>489--502</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/57-3/57_489.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR3308706</mathsci_link>
<abstract>We study a quasilinear elliptic problem of Kirchhoff-type, where the differential operator is defined by partial derivatives with different powers, so the functional framework involves anisotropic Sobolev spaces. By using notion of monotone operators and variational methods, we prove some existence results.</abstract>
<keywords>Anisotropic equation, Hemicontinuous operator, Kirchhoff-type problem, Monotone operator.</keywords>
<subject>76A05, 76D50, 35Q35.</subject>
<fesi_info>
  <FILE>57-489</FILE>
  <YEAR>2014</YEAR>
  <TITLE>On Existence Results for an Anisotropic Elliptic Equation of Kirchhoff-Type by a Monotonicity Method</TITLE>
  <AUTHOR>Ahmed BENSEDIK</AUTHOR>
  <AUTHOR_utf8>Ahmed BENSEDIK</AUTHOR_utf8>
</fesi_info>

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