Continuous spectrum of a fourth order nonhomogeneous differential operators with variable exponent

In this article, we consider the nonlinear eigenvalue problem: $$\left\{ \begin{array}{ll} \Delta(|\Delta u|^{p_1(x)-2}\Delta u)+\Delta(|\Delta u|^{p_2(x)-2}\Delta u)=\lambda|u|^{q(x)-2}u,\ {\rm in}\ \Omega, & \\ u=\Delta u=0,\ {\rm on}\ \partial \Omega,\\ \end{array} \right.$$ whe...

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Bibliographic Details
Main Authors: Bin Ge, Qing-Mei Zhou
Format: Article
Language:English
Published: University of Szeged 2013-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1855