Isoperimetric Inequalities in the Torsion and Clamped Membrane Problems for Convex Plane Domains
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Publication:3670703
DOI10.1137/0514089zbMath0521.73056OpenAlexW2093060198MaRDI QIDQ3670703
G. A. Philippin, Lawrence E. Payne
Publication date: 1983
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0514089
circlefunctionalstorsional rigidityinfinite stripconvex regionclamped membrane problembounds for curvature of level curve of torsion function through arbitrary pointisoperimetric inequalities for maximum stress
Related Items (14)
Calculation of the boundary derivatives of the solutions of the first and second boundary-value problems for Poisson's equation ⋮ Sufficient conditions for the concavity of the solution of the Dirichlet problem for the equation \(\Delta u=-1\) ⋮ The isoperimetric inequality via approximation theory and free boundary problems ⋮ Topological bounds for Fourier coefficients and applications to torsion ⋮ On two functionals involving the maximum of the torsion function ⋮ Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems ⋮ Optimal bounds in semilinear elliptic problems with nonlinear boundary conditions ⋮ Isoperimetric inequalities in the torsion problem for multiply connected domains ⋮ A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function ⋮ Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions ⋮ Towards optimal gradient bounds for the torsion function in the plane ⋮ The Hermite-Hadamard inequality in higher dimensions ⋮ The torsion function of convex domains of high eccentricity ⋮ Isoperimetric estimates of the second boundary value problem for the Poisson equation
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