On an eigenvalue problem with variable exponents and sign-changing potential

In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a sign-changing potential. We prove that any $\lambda>0$ sufficiently small is an eigenvalue of the nonhomogeneous eigenvalue problem \begin{equation*} \begin{cases} -{\rm div}(a(|\nabla u|)...

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Bibliographic Details
Main Author: Bin Ge
Format: Article
Language:English
Published: University of Szeged 2015-12-01
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=4381