The method of interior parallels applied to polygonal or multiply connected membranes
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Publication:2394524
DOI10.2140/pjm.1963.13.1229zbMath0127.40603OpenAlexW2014578453MaRDI QIDQ2394524
Publication date: 1963
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1963.13.1229
Related Items (16)
Placement of an Obstacle for Optimizing the Fundamental Eigenvalue of Divergence Form Elliptic Operators ⋮ On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ On the strict monotonicity of the first eigenvalue of the 𝑝-Laplacian on annuli ⋮ Strict monotonicity of the first \(q\)-eigenvalue of the fractional \(p\)-Laplace operator over annuli ⋮ Reverse Faber-Krahn inequality for the \(p\)-Laplacian in hyperbolic space ⋮ A fractional Hadamard formula and applications ⋮ Randwertprobleme und Methode der inneren Parallelen: eine gemeinsame Erweiterung zweier Ungleichungen von Pólya ⋮ On the Placement of an Obstacle So As to Optimize the Dirichlet Heat Trace ⋮ On qualitative properties of solutions for elliptic problems with thep-Laplacian through domain perturbations ⋮ Minimizing the ground state energy of an electron in a randomly deformed lattice ⋮ A shape variation result via the geometry of eigenfunctions ⋮ How to place an obstacle having a dihedral symmetry inside a disk so as to optimize the fundamental Dirichlet eigenvalue ⋮ On reverse Faber-Krahn inequalities ⋮ A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundary ⋮ Optimal shapes for the first Dirichlet eigenvalue of the \(p\)-Laplacian and dihedral symmetry ⋮ A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundaries
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