Infinitely many weak solutions for $p(x)$-Laplacian-like problems with sign-changing potential

This study is concerned with the $p(x)$-Laplacian-like problems and arising from capillarity phenomena of the following type $$\begin{cases} -{\rm{div}}\left(\left(1+\tfrac{|\nabla u|^{p(x)}}{\sqrt{1+|\nabla u|^{2p(x)}}}\right)|\nabla u|^{p(x)-2}\nabla u\right)=\lambda f(x,u),\quad {\rm in}~\Omega...

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Bibliographic Details
Main Authors: Qing-Mei Zhou, Ke-Qi Wang
Format: Article
Language:English
Published: University of Szeged 2020-02-01
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=7995