On the existence and multiplicity of eigenvalues for a class of double-phase non-autonomous problems with variable exponent growth

We study the following class of double-phase nonlinear eigenvalue problems $$ -\operatorname{div}\left[\phi(x,|\nabla u|)\nabla u+\psi(x,|\nabla u|)\nabla u\right]=\lambda f(x,u) $$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain from $\mathbb{R}^N$ with smooth boundary an...

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Bibliographic Details
Main Author: Vasile Uta
Format: Article
Language:English
Published: University of Szeged 2020-05-01
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=8218