Analysis By the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Monotone Power Nonlinearity

• Datum: 2025
• Hauptverfasser: Пархоменко, Владислав, Сидоров, Максим
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Кам'янець-Подільський національний університет імені Івана Огієнка 2025
• Online Zugang: http://mcm-math.kpnu.edu.ua/article/view/346580
• Назва журналу: Mathematical and computer modelling. Series: Physical and mathematical sciences

The paper presents an analysis, using the method of two-sided approximations, of positive axially symmetric solutions to the first boundary value problem for a semilinear elliptic differential equation with the Helmholtz operator. The domain in which the problem is considered is a disk, on the bound...