Chebfun approximation to structure of positive radial solutions for a class of supercritical semi-linear Dirichlet problems

Călin-Ioan Gheorghiu
(original), Numerical Analysis, paper

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 class of problems mentioned above taking into account the dimension of Euclidean space as well as the physical parameter involved.

Authors

Călin I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

Chebfun; semi-linear elliptic; exponential source; bifurcation; stability.

Paper coordinates

C.-I. Gheorghiu, Chebfun approximation to structure of positive radial solutions for a class of supercritical semi-linear Dirichlet problems, Journal of Numerical Analysis and Approximation Theory, 53 (2024) no. 2, pp. 233-241, https://doi.org/10.33993/jnaat532-1503

PDF

https://ictp.acad.ro/jnaat/journal/article/view/1503/1506

About this paper

Journal

Journal of Numerical Analysis
and Approximation Theory

Publisher Name

Romanian Academy Publishing House

DOI

https://doi.org/10.33993/jnaat532-1503

Print ISSN

2457-6794

Online ISSN

2501-059X

google scholar link

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