@article{Afrouzi_Shakeri_Zahmatkesh_2019, title={Existence results for a class of Kirchhoff-type systems with combined nonlinear effects}, volume={71}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1458}, abstractNote={UDC 517.9 <br&gt; We study the existence of positive solutions for a nonlinear system $$M_1 \bigl(\int_{\Omega} | abla u|^p dx\bigr)\mathrm{d}\mathrm{i}\mathrm{v} (| x|^{ap}| abla u|^{p-2} abla u) = \lambda | x| (a+1)p+c_1f(u, \upsilon ),\; x \in \Omega ,$$ $$M2 \bigl( \int_{ \Omega }| abla v| q dx \bigr)\mathrm{d}\mathrm{i}\mathrm{v} (| x| bq| abla \upsilon | q 2 abla \upsilon ) = \lambda | x| (b+1)q+c_2g(u, \upsilon ),\; x \in \Omega ,$$ $$u = \upsilon = 0, x \in \partial \Omega ,$$ where $\Omega$ is a bounded smooth domain in $R^N$ with $0 \in \Omega,\; 1 < p, q < N, 0 \leq a < \cfrac{N-p}{p}, 0 \leq b &lt; \cfrac{N-q}{p},$ а $c_1, c_2, \lambda$ are positive parameters. Here, $M_1,M_2, f$, and g satisfy certain conditions. We use the method of sub- and supersolutions to establish our results.}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Afrouzi, G. A. and Shakeri, S. and Zahmatkesh, H.}, year={2019}, month={Apr.}, pages={571-580} }