Bifurcation of radial solutions for prescribed mean curvature equations
N. B. Zographopoulos
TL;DR
This paper establishes global bifurcation results for smooth, positive radial solutions of prescribed mean curvature equations in three-dimensional space, expanding understanding of solution structures.
Contribution
It provides the first global bifurcation analysis for prescribed mean curvature equations on R3 with radial solutions.
Findings
Existence of bifurcation branches of solutions.
Radial solutions are smooth and positive.
Global bifurcation structure characterized.
Abstract
We prove global bifurcation results for prescribed mean curvature equations. These equations are defined on R3 and the radial solutions belonging in these branches are smooth and positive.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Nonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows