Isoperimetric inequalities and the problem of Plateau

DOI10.1007/BF01418324zbMath0345.49024MaRDI QIDQ1233211

Klaus Steffen

Publication date: 1976

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162859

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items

Nonuniqueness in the Plateau problem for surfaces of constant mean curvature, On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions, EXISTENCE OF MINIMAL H-BUBBLES, On the nonuniqueness of surfaces with constant mean curvature spanning a given contour, Isovolumetric and isoperimetric problems for a class of capillarity functionals, Area-minimizing disks with free boundary and prescribed enclosed volume, On the existence of integral currents with prescribed mean curvature vector, On the regularity of weak solutions to \(H\)-system, Existence and regularity for higher-dimensional \(H\)-systems, On the Continuity of the Nemitsky Operator Induced by a Lipschitz Continuous Map, Bubbles with prescribed mean curvature: the variational approach, The evolution of \(H\)-surfaces with a Plateau boundary condition, \(H\)-bubbles in a perturbative setting: the finite-dimensional reduction method, The Dirichlet problem for \(H\)-systems with small boundary data: blowup phenomena and nonexistence results, On the existence of surfaces with prescribed mean curvature and boundary, The non-existence of branch points in solutions to certain classes of Plateau type variational problems, The role of the spectrum of the Laplace operator on \(\mathbb S^2\) in the \(\mathcal H\) bubble problem, Weak solutions to the heat flow for surfaces of prescribed mean curvature, Plateau's problem for surfaces of prescribed mean curvature in given regions

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