Chebfun approximation to structure of positive radial solutions for a class of supercritical semi-linear Dirichlet problems
Year: 2024
Type: article
Abstract: We use the Chebfun programming package to approximate numerically the structure of the set of positive radial solutions for a class of supercritical semilinear elliptic Dirichlet boundary value problems. This structure (bifurcation diagram) is provided only at the heuristic level in many important works. In this paper, we investigate this structure, as accurately as possible, for the classof problems mentioned above taking into account the dimension of Euclidean space as well as the physical parameter involved.
Author: Călin I. Gheorghiu
Institution: Tiberiu Popoviciu Institute of Numerical Analysis
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405532418