
The authors propose an existence theorem for a critical point of the energy functional, which enables one to characterize variationally the equation of surfaces of constant mean curvature \(H=\frac12\) in \(\mathbb{R}^3\) in conformal representation.
Variational problems concerning minimal surfaces (problems in two independent variables), Systems of elliptic equations, boundary value problems, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, surface of constant mean curvature, energy functional
Variational problems concerning minimal surfaces (problems in two independent variables), Systems of elliptic equations, boundary value problems, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, surface of constant mean curvature, energy functional
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