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Denumerably many positive radial solutions for the iterative system of Minkowski-Curvature equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3613-3632 اصل مقاله (488.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23621.2567 | ||
| نویسندگان | ||
| Khuddush Mahammad* 1؛ Rajendra Prasad Kapula2؛ Bharathi Botta2، 3 | ||
| 1Department of Mathematics, Dr. Lankapalli Bullayya College, Resapuvanipalem, Visakhapatnam, 530013, India | ||
| 2Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India | ||
| 3Department of Mathematics, College of Engineering for Women, Gayatri Vidya Parishad, Madhurawada, Visakhapatnam, 530048, India | ||
| تاریخ دریافت: 17 خرداد 1400، تاریخ بازنگری: 09 مرداد 1400، تاریخ پذیرش: 30 مرداد 1400 | ||
| چکیده | ||
| This paper deals with the existence of denumerably many positive radial solutions to the iterative system of Dirichlet problems $$ div(\frac{\nabla z_j}{\sqrt{1-|\nabla z_j|^2}})+g_j(z_{j+1})=0\ in\ \Omega,$$ $$z_j=0\ on\ \partial\Omega,$$ where $j\in\{1, 2,\cdot\cdot\cdot,n\},$ $z_1=z_{n+1},$ $\Omega$ is a unit ball in $\mathbb{R}^N$ involving the mean curvature operator in Minkowski space by applying Krasnoselskii's fixed point theorem, Avery-Henderson fixed point theorem and a new (Ren-Ge-Ren) fixed point theorem in cones. | ||
| کلیدواژه‌ها | ||
| Positive radial solution؛ Minkowski-curvature equation؛ fixed point theorem؛ cone | ||
| مراجع | ||
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