Existence results for a class of Kirchhoff-type systems with combined nonlinear effects

• Date: 2019
• Main Authors: Afrouzi, G. A., Shakeri, S., Zahmatkesh, H., Афрузі, Г. А., Шакері, С., Захматкеш, Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1458
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We study the existence of positive solutions for a nonlinear system $$M_1 \bigl(\int_{\Omega} |\nabla u|^p dx\bigr)\mathrm{d}\mathrm{i}\mathrm{v} (| x|^{ap}| \nabla u|^{p-2}\nabla u) = \lambda | x| (a+1)p+c_1f(u, \upsilon ),\; x \in \Omega ,$$ $$M2 \bigl( \int_{ \Omega }| \nabla v| q d...