Article

BIFURCATION OF SOLUTIONS TO A NONLINEAR ELLIPTIC PROBLEM IN A DISK

Sh.Sh BabajanovTashkent State University of Economics, Tashkent, UzbekistanM.K. KeunimjaevTashkent State University of Economics, Tashkent, Uzbekistan

Zenodo (CERN European Organization for Nuclear Research)repository2026en

ABI

Abstract

We study a nonlinear elliptic Dirichlet boundary value problem for an equation in a circular domain. Using the method of small parameters and the Lyapunov–Schmidt reduction, we investigate bifurcation points, construct asymptotic expansions of solutions, and determine the nature of the emerging branches. The existence of a supercritical pitchfork bifurcation is proved. The stability of solutions and the global structure of branches are analysed.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Nonlinear Partial Differential Equations

Identifiers

DOI: 10.5281/zenodo.20487048

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