The Nehari manifold approach for a $p(x)$ -Laplacian problem with nonlinear boundary conditions

• Datum: 2017
• Hauptverfasser: Fallah, K., Rasouli, S. H., Фаллах, К., Расулі, С. Х.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1678
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a class of $p(x)$-Laplacian equations that involve nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based on the Nehari manifold, which is similar to the fibering method of Drabek and Pohozaev, together with the recent idea from Brown and Wu.