Nonlinear boundary value problems for the annular membrane: A note on uniqueness of positive solutions

DOI10.1007/BF00049458zbMath0615.73039OpenAlexW2033445338MaRDI QIDQ1820620

Hans Grabmüller, Erich Novak

Publication date: 1987

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049458

zbMATH Keywords

Hopf's maximum principletensile solutionsannular membranesFöppl-Hencky small finite deflection theorygiven radial displacementinner edgeouter edgeprescribed radial tensile stress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (6)

On shells of revolution with the Love-Kirchhoff hypotheses ⋮ Existence theorems for some boundary value problems in the nonlinear theory of annular elastic membranes ⋮ Positive Solutions of Annular Elastic Membrane Problems with Finite Rotations ⋮ Wrinkle-free solutions in the theory of annular elastic membranes ⋮ Recent mathematical results in the nonlinear theory of flat and curved elastic membranes of revolution ⋮ Wrinkle-free solutions in the theory of curved circular membranes

Cites Work

• Finite displacements of annular elastic membranes
• Non-linear boundary value problems for the annular membrane: New results on existence of positive solutions
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